-7(-4m-5)+6(5-4m)=45

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Solution for -7(-4m-5)+6(5-4m)=45 equation: 


Simplifying
-7(-4m + -5) + 6(5 + -4m) = 45

Reorder the terms:
-7(-5 + -4m) + 6(5 + -4m) = 45
(-5 * -7 + -4m * -7) + 6(5 + -4m) = 45
(35 + 28m) + 6(5 + -4m) = 45
35 + 28m + (5 * 6 + -4m * 6) = 45
35 + 28m + (30 + -24m) = 45

Reorder the terms:
35 + 30 + 28m + -24m = 45

Combine like terms: 35 + 30 = 65
65 + 28m + -24m = 45

Combine like terms: 28m + -24m = 4m
65 + 4m = 45

Solving
65 + 4m = 45

Solving for variable 'm'.

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

Add '-65' to each side of the equation.
65 + -65 + 4m = 45 + -65

Combine like terms: 65 + -65 = 0
0 + 4m = 45 + -65
4m = 45 + -65

Combine like terms: 45 + -65 = -20
4m = -20

Divide each side by '4'.
m = -5

Simplifying
m = -5

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