7(m-1)+6=4(-m-1)+6

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


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

Reorder the terms:
7(-1 + m) + 6 = 4(-1m + -1) + 6
(-1 * 7 + m * 7) + 6 = 4(-1m + -1) + 6
(-7 + 7m) + 6 = 4(-1m + -1) + 6

Reorder the terms:
-7 + 6 + 7m = 4(-1m + -1) + 6

Combine like terms: -7 + 6 = -1
-1 + 7m = 4(-1m + -1) + 6

Reorder the terms:
-1 + 7m = 4(-1 + -1m) + 6
-1 + 7m = (-1 * 4 + -1m * 4) + 6
-1 + 7m = (-4 + -4m) + 6

Reorder the terms:
-1 + 7m = -4 + 6 + -4m

Combine like terms: -4 + 6 = 2
-1 + 7m = 2 + -4m

Solving
-1 + 7m = 2 + -4m

Solving for variable 'm'.

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

Add '4m' to each side of the equation.
-1 + 7m + 4m = 2 + -4m + 4m

Combine like terms: 7m + 4m = 11m
-1 + 11m = 2 + -4m + 4m

Combine like terms: -4m + 4m = 0
-1 + 11m = 2 + 0
-1 + 11m = 2

Add '1' to each side of the equation.
-1 + 1 + 11m = 2 + 1

Combine like terms: -1 + 1 = 0
0 + 11m = 2 + 1
11m = 2 + 1

Combine like terms: 2 + 1 = 3
11m = 3

Divide each side by '11'.
m = 0.2727272727

Simplifying
m = 0.2727272727

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