2m-[m+6]=4[m-3]

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Solution for 2m-[m+6]=4[m-3] equation:


Simplifying
2m + -1[m + 6] = 4[m + -3]

Reorder the terms:
2m + -1[6 + m] = 4[m + -3]
2m + [6 * -1 + m * -1] = 4[m + -3]
2m + [-6 + -1m] = 4[m + -3]

Reorder the terms:
-6 + 2m + -1m = 4[m + -3]

Combine like terms: 2m + -1m = 1m
-6 + 1m = 4[m + -3]

Reorder the terms:
-6 + 1m = 4[-3 + m]
-6 + 1m = [-3 * 4 + m * 4]
-6 + 1m = [-12 + 4m]

Solving
-6 + 1m = -12 + 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.
-6 + 1m + -4m = -12 + 4m + -4m

Combine like terms: 1m + -4m = -3m
-6 + -3m = -12 + 4m + -4m

Combine like terms: 4m + -4m = 0
-6 + -3m = -12 + 0
-6 + -3m = -12

Add '6' to each side of the equation.
-6 + 6 + -3m = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -3m = -12 + 6
-3m = -12 + 6

Combine like terms: -12 + 6 = -6
-3m = -6

Divide each side by '-3'.
m = 2

Simplifying
m = 2

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