4(m-1)-6=8-3(m+2)

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Solution for 4(m-1)-6=8-3(m+2) equation:


Simplifying
4(m + -1) + -6 = 8 + -3(m + 2)

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

Reorder the terms:
-4 + -6 + 4m = 8 + -3(m + 2)

Combine like terms: -4 + -6 = -10
-10 + 4m = 8 + -3(m + 2)

Reorder the terms:
-10 + 4m = 8 + -3(2 + m)
-10 + 4m = 8 + (2 * -3 + m * -3)
-10 + 4m = 8 + (-6 + -3m)

Combine like terms: 8 + -6 = 2
-10 + 4m = 2 + -3m

Solving
-10 + 4m = 2 + -3m

Solving for variable 'm'.

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

Add '3m' to each side of the equation.
-10 + 4m + 3m = 2 + -3m + 3m

Combine like terms: 4m + 3m = 7m
-10 + 7m = 2 + -3m + 3m

Combine like terms: -3m + 3m = 0
-10 + 7m = 2 + 0
-10 + 7m = 2

Add '10' to each side of the equation.
-10 + 10 + 7m = 2 + 10

Combine like terms: -10 + 10 = 0
0 + 7m = 2 + 10
7m = 2 + 10

Combine like terms: 2 + 10 = 12
7m = 12

Divide each side by '7'.
m = 1.714285714

Simplifying
m = 1.714285714

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