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

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


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

Reorder the terms:
-4(-2 + m) + 3(m + 1) = 7
(-2 * -4 + m * -4) + 3(m + 1) = 7
(8 + -4m) + 3(m + 1) = 7

Reorder the terms:
8 + -4m + 3(1 + m) = 7
8 + -4m + (1 * 3 + m * 3) = 7
8 + -4m + (3 + 3m) = 7

Reorder the terms:
8 + 3 + -4m + 3m = 7

Combine like terms: 8 + 3 = 11
11 + -4m + 3m = 7

Combine like terms: -4m + 3m = -1m
11 + -1m = 7

Solving
11 + -1m = 7

Solving for variable 'm'.

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

Add '-11' to each side of the equation.
11 + -11 + -1m = 7 + -11

Combine like terms: 11 + -11 = 0
0 + -1m = 7 + -11
-1m = 7 + -11

Combine like terms: 7 + -11 = -4
-1m = -4

Divide each side by '-1'.
m = 4

Simplifying
m = 4

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