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Leno4ka [110]
2 years ago
11

M/5=3(2m+1) verbal expression

Mathematics
1 answer:
nevsk [136]2 years ago
6 0

Answer:

m = -15/29

Step-by-step explanation:

1) Distribute

\frac{m}{5} =6m+3

2) Subtract 6m from both sides of the equation

\frac{m}{5} -6m=6m+3-6m

3) Simplify

a. Find common denominator

\frac{m}{5} +\frac{5(-6)m}{5} =6m+3-6m

b. Combine fractions with common denominator

\frac{m+5(-6)m}{5} =6m+3-6m

c. Multiply the numbers

\frac{m-30m}{5} =6m+3-6m

d. Combine like terms

\frac{-29m}{5} =6m+3-6m

e. Combine like terms

\frac{-29m}{5} =3

4) Multiply all terms by the same value to eliminate fraction denominators

5 *\frac{-29m}{5} =5*3

5) Cancel multiplied terms that are in the denominator

-29m=5*3

6) Multiply the numbers

-29m=15

7) Divide both sides of the equation by the same term

\frac{-29m}{29} =\frac{15}{-29}

8) Simplify

a. Cancel terms that are in both the numerator and denominator

m=\frac{15}{-29}

b. Divide the numbers

m=-\frac{15}{29}

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