7m=3(m+7)-1

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Solution for 7m=3(m+7)-1 equation: 


Simplifying
7m = 3(m + 7) + -1

Reorder the terms:
7m = 3(7 + m) + -1
7m = (7 * 3 + m * 3) + -1
7m = (21 + 3m) + -1

Reorder the terms:
7m = 21 + -1 + 3m

Combine like terms: 21 + -1 = 20
7m = 20 + 3m

Solving
7m = 20 + 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.
7m + -3m = 20 + 3m + -3m

Combine like terms: 7m + -3m = 4m
4m = 20 + 3m + -3m

Combine like terms: 3m + -3m = 0
4m = 20 + 0
4m = 20

Divide each side by '4'.
m = 5

Simplifying
m = 5

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