3m-17=7(m-7)

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Solution for 3m-17=7(m-7) equation: 


Simplifying
3m + -17 = 7(m + -7)

Reorder the terms:
-17 + 3m = 7(m + -7)

Reorder the terms:
-17 + 3m = 7(-7 + m)
-17 + 3m = (-7 * 7 + m * 7)
-17 + 3m = (-49 + 7m)

Solving
-17 + 3m = -49 + 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.
-17 + 3m + -7m = -49 + 7m + -7m

Combine like terms: 3m + -7m = -4m
-17 + -4m = -49 + 7m + -7m

Combine like terms: 7m + -7m = 0
-17 + -4m = -49 + 0
-17 + -4m = -49

Add '17' to each side of the equation.
-17 + 17 + -4m = -49 + 17

Combine like terms: -17 + 17 = 0
0 + -4m = -49 + 17
-4m = -49 + 17

Combine like terms: -49 + 17 = -32
-4m = -32

Divide each side by '-4'.
m = 8

Simplifying
m = 8

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