-7(m-5)=4(4-m)+1

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Solution for -7(m-5)=4(4-m)+1 equation: 


Simplifying
-7(m + -5) = 4(4 + -1m) + 1

Reorder the terms:
-7(-5 + m) = 4(4 + -1m) + 1
(-5 * -7 + m * -7) = 4(4 + -1m) + 1
(35 + -7m) = 4(4 + -1m) + 1
35 + -7m = (4 * 4 + -1m * 4) + 1
35 + -7m = (16 + -4m) + 1

Reorder the terms:
35 + -7m = 16 + 1 + -4m

Combine like terms: 16 + 1 = 17
35 + -7m = 17 + -4m

Solving
35 + -7m = 17 + -4m

Solving for variable 'm'.

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

Add '4m' to each side of the equation.
35 + -7m + 4m = 17 + -4m + 4m

Combine like terms: -7m + 4m = -3m
35 + -3m = 17 + -4m + 4m

Combine like terms: -4m + 4m = 0
35 + -3m = 17 + 0
35 + -3m = 17

Add '-35' to each side of the equation.
35 + -35 + -3m = 17 + -35

Combine like terms: 35 + -35 = 0
0 + -3m = 17 + -35
-3m = 17 + -35

Combine like terms: 17 + -35 = -18
-3m = -18

Divide each side by '-3'.
m = 6

Simplifying
m = 6

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