-4(6m-2)-1=7m-6(m-3)

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Solution for -4(6m-2)-1=7m-6(m-3) equation:


Simplifying
-4(6m + -2) + -1 = 7m + -6(m + -3)

Reorder the terms:
-4(-2 + 6m) + -1 = 7m + -6(m + -3)
(-2 * -4 + 6m * -4) + -1 = 7m + -6(m + -3)
(8 + -24m) + -1 = 7m + -6(m + -3)

Reorder the terms:
8 + -1 + -24m = 7m + -6(m + -3)

Combine like terms: 8 + -1 = 7
7 + -24m = 7m + -6(m + -3)

Reorder the terms:
7 + -24m = 7m + -6(-3 + m)
7 + -24m = 7m + (-3 * -6 + m * -6)
7 + -24m = 7m + (18 + -6m)

Reorder the terms:
7 + -24m = 18 + 7m + -6m

Combine like terms: 7m + -6m = 1m
7 + -24m = 18 + 1m

Solving
7 + -24m = 18 + 1m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
7 + -24m + -1m = 18 + 1m + -1m

Combine like terms: -24m + -1m = -25m
7 + -25m = 18 + 1m + -1m

Combine like terms: 1m + -1m = 0
7 + -25m = 18 + 0
7 + -25m = 18

Add '-7' to each side of the equation.
7 + -7 + -25m = 18 + -7

Combine like terms: 7 + -7 = 0
0 + -25m = 18 + -7
-25m = 18 + -7

Combine like terms: 18 + -7 = 11
-25m = 11

Divide each side by '-25'.
m = -0.44

Simplifying
m = -0.44

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