55=6(7m-2)+5(1+4m)

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Solution for 55=6(7m-2)+5(1+4m) equation:


Simplifying
55 = 6(7m + -2) + 5(1 + 4m)

Reorder the terms:
55 = 6(-2 + 7m) + 5(1 + 4m)
55 = (-2 * 6 + 7m * 6) + 5(1 + 4m)
55 = (-12 + 42m) + 5(1 + 4m)
55 = -12 + 42m + (1 * 5 + 4m * 5)
55 = -12 + 42m + (5 + 20m)

Reorder the terms:
55 = -12 + 5 + 42m + 20m

Combine like terms: -12 + 5 = -7
55 = -7 + 42m + 20m

Combine like terms: 42m + 20m = 62m
55 = -7 + 62m

Solving
55 = -7 + 62m

Solving for variable 'm'.

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

Add '-62m' to each side of the equation.
55 + -62m = -7 + 62m + -62m

Combine like terms: 62m + -62m = 0
55 + -62m = -7 + 0
55 + -62m = -7

Add '-55' to each side of the equation.
55 + -55 + -62m = -7 + -55

Combine like terms: 55 + -55 = 0
0 + -62m = -7 + -55
-62m = -7 + -55

Combine like terms: -7 + -55 = -62
-62m = -62

Divide each side by '-62'.
m = 1

Simplifying
m = 1

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