6(m-7)+20=3m+5

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Solution for 6(m-7)+20=3m+5 equation:


Simplifying
6(m + -7) + 20 = 3m + 5

Reorder the terms:
6(-7 + m) + 20 = 3m + 5
(-7 * 6 + m * 6) + 20 = 3m + 5
(-42 + 6m) + 20 = 3m + 5

Reorder the terms:
-42 + 20 + 6m = 3m + 5

Combine like terms: -42 + 20 = -22
-22 + 6m = 3m + 5

Reorder the terms:
-22 + 6m = 5 + 3m

Solving
-22 + 6m = 5 + 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.
-22 + 6m + -3m = 5 + 3m + -3m

Combine like terms: 6m + -3m = 3m
-22 + 3m = 5 + 3m + -3m

Combine like terms: 3m + -3m = 0
-22 + 3m = 5 + 0
-22 + 3m = 5

Add '22' to each side of the equation.
-22 + 22 + 3m = 5 + 22

Combine like terms: -22 + 22 = 0
0 + 3m = 5 + 22
3m = 5 + 22

Combine like terms: 5 + 22 = 27
3m = 27

Divide each side by '3'.
m = 9

Simplifying
m = 9

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