169=7m-6(1-3m)

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Solution for 169=7m-6(1-3m) equation:


Simplifying
169 = 7m + -6(1 + -3m)
169 = 7m + (1 * -6 + -3m * -6)
169 = 7m + (-6 + 18m)

Reorder the terms:
169 = -6 + 7m + 18m

Combine like terms: 7m + 18m = 25m
169 = -6 + 25m

Solving
169 = -6 + 25m

Solving for variable 'm'.

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

Add '-25m' to each side of the equation.
169 + -25m = -6 + 25m + -25m

Combine like terms: 25m + -25m = 0
169 + -25m = -6 + 0
169 + -25m = -6

Add '-169' to each side of the equation.
169 + -169 + -25m = -6 + -169

Combine like terms: 169 + -169 = 0
0 + -25m = -6 + -169
-25m = -6 + -169

Combine like terms: -6 + -169 = -175
-25m = -175

Divide each side by '-25'.
m = 7

Simplifying
m = 7

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