-3m+40-7(m-1)=5m-(7m-7)-2m+4

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Solution for -3m+40-7(m-1)=5m-(7m-7)-2m+4 equation: 


Simplifying
-3m + 40 + -7(m + -1) = 5m + -1(7m + -7) + -2m + 4

Reorder the terms:
-3m + 40 + -7(-1 + m) = 5m + -1(7m + -7) + -2m + 4
-3m + 40 + (-1 * -7 + m * -7) = 5m + -1(7m + -7) + -2m + 4
-3m + 40 + (7 + -7m) = 5m + -1(7m + -7) + -2m + 4

Reorder the terms:
40 + 7 + -3m + -7m = 5m + -1(7m + -7) + -2m + 4

Combine like terms: 40 + 7 = 47
47 + -3m + -7m = 5m + -1(7m + -7) + -2m + 4

Combine like terms: -3m + -7m = -10m
47 + -10m = 5m + -1(7m + -7) + -2m + 4

Reorder the terms:
47 + -10m = 5m + -1(-7 + 7m) + -2m + 4
47 + -10m = 5m + (-7 * -1 + 7m * -1) + -2m + 4
47 + -10m = 5m + (7 + -7m) + -2m + 4

Reorder the terms:
47 + -10m = 7 + 4 + 5m + -7m + -2m

Combine like terms: 7 + 4 = 11
47 + -10m = 11 + 5m + -7m + -2m

Combine like terms: 5m + -7m = -2m
47 + -10m = 11 + -2m + -2m

Combine like terms: -2m + -2m = -4m
47 + -10m = 11 + -4m

Solving
47 + -10m = 11 + -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.
47 + -10m + 4m = 11 + -4m + 4m

Combine like terms: -10m + 4m = -6m
47 + -6m = 11 + -4m + 4m

Combine like terms: -4m + 4m = 0
47 + -6m = 11 + 0
47 + -6m = 11

Add '-47' to each side of the equation.
47 + -47 + -6m = 11 + -47

Combine like terms: 47 + -47 = 0
0 + -6m = 11 + -47
-6m = 11 + -47

Combine like terms: 11 + -47 = -36
-6m = -36

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

Simplifying
m = 6

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