3m+5(m-6)=3m+14

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Solution for 3m+5(m-6)=3m+14 equation:


Simplifying
3m + 5(m + -6) = 3m + 14

Reorder the terms:
3m + 5(-6 + m) = 3m + 14
3m + (-6 * 5 + m * 5) = 3m + 14
3m + (-30 + 5m) = 3m + 14

Reorder the terms:
-30 + 3m + 5m = 3m + 14

Combine like terms: 3m + 5m = 8m
-30 + 8m = 3m + 14

Reorder the terms:
-30 + 8m = 14 + 3m

Solving
-30 + 8m = 14 + 3m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-3m' to each side of the equation.
-30 + 8m + -3m = 14 + 3m + -3m

Combine like terms: 8m + -3m = 5m
-30 + 5m = 14 + 3m + -3m

Combine like terms: 3m + -3m = 0
-30 + 5m = 14 + 0
-30 + 5m = 14

Add '30' to each side of the equation.
-30 + 30 + 5m = 14 + 30

Combine like terms: -30 + 30 = 0
0 + 5m = 14 + 30
5m = 14 + 30

Combine like terms: 14 + 30 = 44
5m = 44

Divide each side by '5'.
m = 8.8

Simplifying
m = 8.8

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