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4 years ago

6

Help.. solve for the given variable -5(r - 6) + 3(-8 + 8r) = -32

2 answers:

aev [14]4 years ago

6 0

Solve for r by simplifying both sides of the equation,then isolating the variable.
r = -2

12345 [234]4 years ago

5 0

-5(r - 6) + 3(-8 + 8r) = -32

STEP 1: Simplify both sides of the equation.
<span><span><span><span><span><span>(<span>−5</span>)</span><span>(r)</span></span>+<span><span>(<span>−5</span>)</span><span>(<span>−6</span>)</span></span></span>+<span><span>(3)</span><span>(<span>−8</span>)</span></span></span>+<span><span>(3)</span><span>(<span>8r</span>)</span></span></span>=<span>−32 </span></span>(Distribute)
<span><span><span><span><span><span>−<span>5r</span></span>+30</span>+</span>−24</span>+<span>24r</span></span>=<span>−32</span></span><span><span><span>(<span><span>−<span>5r</span></span>+<span>24r</span></span>)</span>+<span>(<span>30+<span>−24</span></span>)</span></span>=<span>−32 </span></span>(Combine Like Terms)
<span><span><span>19r</span>+6</span>=<span>−32</span></span><span><span><span>19r</span>+6</span>=<span>−32
</span></span>
STEP 2: Subtract 6 from both sides.
<span><span><span><span>19r</span>+6</span>−6</span>=<span><span>−32</span>−6</span></span><span><span>19r</span>=<span>−<span>38

STEP 3: Divide both sides by 19.
19r/19 = -38/19
r = -2

FINAL ANSWER: r = -2</span></span></span>

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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

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<u>Step 2: Solve for </u><em><u>a</u></em>

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Here we see that any value <em>a </em>less than or equal to 15 would work as a solution to the inequality.

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