3m+30=7(m+2)

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Solution for 3m+30=7(m+2) equation:


Simplifying
3m + 30 = 7(m + 2)

Reorder the terms:
30 + 3m = 7(m + 2)

Reorder the terms:
30 + 3m = 7(2 + m)
30 + 3m = (2 * 7 + m * 7)
30 + 3m = (14 + 7m)

Solving
30 + 3m = 14 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
30 + 3m + -7m = 14 + 7m + -7m

Combine like terms: 3m + -7m = -4m
30 + -4m = 14 + 7m + -7m

Combine like terms: 7m + -7m = 0
30 + -4m = 14 + 0
30 + -4m = 14

Add '-30' to each side of the equation.
30 + -30 + -4m = 14 + -30

Combine like terms: 30 + -30 = 0
0 + -4m = 14 + -30
-4m = 14 + -30

Combine like terms: 14 + -30 = -16
-4m = -16

Divide each side by '-4'.
m = 4

Simplifying
m = 4

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