7(m-1)=9(m+17)

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Solution for 7(m-1)=9(m+17) equation:


Simplifying
7(m + -1) = 9(m + 17)

Reorder the terms:
7(-1 + m) = 9(m + 17)
(-1 * 7 + m * 7) = 9(m + 17)
(-7 + 7m) = 9(m + 17)

Reorder the terms:
-7 + 7m = 9(17 + m)
-7 + 7m = (17 * 9 + m * 9)
-7 + 7m = (153 + 9m)

Solving
-7 + 7m = 153 + 9m

Solving for variable 'm'.

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

Add '-9m' to each side of the equation.
-7 + 7m + -9m = 153 + 9m + -9m

Combine like terms: 7m + -9m = -2m
-7 + -2m = 153 + 9m + -9m

Combine like terms: 9m + -9m = 0
-7 + -2m = 153 + 0
-7 + -2m = 153

Add '7' to each side of the equation.
-7 + 7 + -2m = 153 + 7

Combine like terms: -7 + 7 = 0
0 + -2m = 153 + 7
-2m = 153 + 7

Combine like terms: 153 + 7 = 160
-2m = 160

Divide each side by '-2'.
m = -80

Simplifying
m = -80

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