-44=7(-3m-6)-8(m-7)

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Solution for -44=7(-3m-6)-8(m-7) equation:


Simplifying
-44 = 7(-3m + -6) + -8(m + -7)

Reorder the terms:
-44 = 7(-6 + -3m) + -8(m + -7)
-44 = (-6 * 7 + -3m * 7) + -8(m + -7)
-44 = (-42 + -21m) + -8(m + -7)

Reorder the terms:
-44 = -42 + -21m + -8(-7 + m)
-44 = -42 + -21m + (-7 * -8 + m * -8)
-44 = -42 + -21m + (56 + -8m)

Reorder the terms:
-44 = -42 + 56 + -21m + -8m

Combine like terms: -42 + 56 = 14
-44 = 14 + -21m + -8m

Combine like terms: -21m + -8m = -29m
-44 = 14 + -29m

Solving
-44 = 14 + -29m

Solving for variable 'm'.

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

Add '29m' to each side of the equation.
-44 + 29m = 14 + -29m + 29m

Combine like terms: -29m + 29m = 0
-44 + 29m = 14 + 0
-44 + 29m = 14

Add '44' to each side of the equation.
-44 + 44 + 29m = 14 + 44

Combine like terms: -44 + 44 = 0
0 + 29m = 14 + 44
29m = 14 + 44

Combine like terms: 14 + 44 = 58
29m = 58

Divide each side by '29'.
m = 2

Simplifying
m = 2

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