171=3-7(-4-5m)

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Solution for 171=3-7(-4-5m) equation:


Simplifying
171 = 3 + -7(-4 + -5m)
171 = 3 + (-4 * -7 + -5m * -7)
171 = 3 + (28 + 35m)

Combine like terms: 3 + 28 = 31
171 = 31 + 35m

Solving
171 = 31 + 35m

Solving for variable 'm'.

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

Add '-35m' to each side of the equation.
171 + -35m = 31 + 35m + -35m

Combine like terms: 35m + -35m = 0
171 + -35m = 31 + 0
171 + -35m = 31

Add '-171' to each side of the equation.
171 + -171 + -35m = 31 + -171

Combine like terms: 171 + -171 = 0
0 + -35m = 31 + -171
-35m = 31 + -171

Combine like terms: 31 + -171 = -140
-35m = -140

Divide each side by '-35'.
m = 4

Simplifying
m = 4

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