-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>
Hi there! Hopefully this helps!
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<em>1 / 2 / 3 = </em><u><em>0.16666666666. </em></u>
<u><em>0.16666666666</em></u><em> in </em><u><em>fraction form:</em></u><em> </em><u><em>1/6.</em></u>
<em>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</em>
<em>Firstly we need to </em><u><em>divide 1 into halves</em></u><em> (halves is "2", 1 / 2 = 0.5.)</em>
<em>Now that we have 0.5, we need to </em><em>divide 0.5 by 3.</em>
<u><em>0.5 / 3</em></u><em> = </em><u><em>0.16666666666</em></u>