7(-8m-6)-2m=1+5(m+4)

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Solution for 7(-8m-6)-2m=1+5(m+4) equation:


Simplifying
7(-8m + -6) + -2m = 1 + 5(m + 4)

Reorder the terms:
7(-6 + -8m) + -2m = 1 + 5(m + 4)
(-6 * 7 + -8m * 7) + -2m = 1 + 5(m + 4)
(-42 + -56m) + -2m = 1 + 5(m + 4)

Combine like terms: -56m + -2m = -58m
-42 + -58m = 1 + 5(m + 4)

Reorder the terms:
-42 + -58m = 1 + 5(4 + m)
-42 + -58m = 1 + (4 * 5 + m * 5)
-42 + -58m = 1 + (20 + 5m)

Combine like terms: 1 + 20 = 21
-42 + -58m = 21 + 5m

Solving
-42 + -58m = 21 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
-42 + -58m + -5m = 21 + 5m + -5m

Combine like terms: -58m + -5m = -63m
-42 + -63m = 21 + 5m + -5m

Combine like terms: 5m + -5m = 0
-42 + -63m = 21 + 0
-42 + -63m = 21

Add '42' to each side of the equation.
-42 + 42 + -63m = 21 + 42

Combine like terms: -42 + 42 = 0
0 + -63m = 21 + 42
-63m = 21 + 42

Combine like terms: 21 + 42 = 63
-63m = 63

Divide each side by '-63'.
m = -1

Simplifying
m = -1

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