2m+5(m-6)=3m+4

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Solution for 2m+5(m-6)=3m+4 equation:


Simplifying
2m + 5(m + -6) = 3m + 4

Reorder the terms:
2m + 5(-6 + m) = 3m + 4
2m + (-6 * 5 + m * 5) = 3m + 4
2m + (-30 + 5m) = 3m + 4

Reorder the terms:
-30 + 2m + 5m = 3m + 4

Combine like terms: 2m + 5m = 7m
-30 + 7m = 3m + 4

Reorder the terms:
-30 + 7m = 4 + 3m

Solving
-30 + 7m = 4 + 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 + 7m + -3m = 4 + 3m + -3m

Combine like terms: 7m + -3m = 4m
-30 + 4m = 4 + 3m + -3m

Combine like terms: 3m + -3m = 0
-30 + 4m = 4 + 0
-30 + 4m = 4

Add '30' to each side of the equation.
-30 + 30 + 4m = 4 + 30

Combine like terms: -30 + 30 = 0
0 + 4m = 4 + 30
4m = 4 + 30

Combine like terms: 4 + 30 = 34
4m = 34

Divide each side by '4'.
m = 8.5

Simplifying
m = 8.5

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