5m-2[m+2]=-[2m+15]

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Solution for 5m-2[m+2]=-[2m+15] equation:


Simplifying
5m + -2[m + 2] = -1[2m + 15]

Reorder the terms:
5m + -2[2 + m] = -1[2m + 15]
5m + [2 * -2 + m * -2] = -1[2m + 15]
5m + [-4 + -2m] = -1[2m + 15]

Reorder the terms:
-4 + 5m + -2m = -1[2m + 15]

Combine like terms: 5m + -2m = 3m
-4 + 3m = -1[2m + 15]

Reorder the terms:
-4 + 3m = -1[15 + 2m]
-4 + 3m = [15 * -1 + 2m * -1]
-4 + 3m = [-15 + -2m]

Solving
-4 + 3m = -15 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
-4 + 3m + 2m = -15 + -2m + 2m

Combine like terms: 3m + 2m = 5m
-4 + 5m = -15 + -2m + 2m

Combine like terms: -2m + 2m = 0
-4 + 5m = -15 + 0
-4 + 5m = -15

Add '4' to each side of the equation.
-4 + 4 + 5m = -15 + 4

Combine like terms: -4 + 4 = 0
0 + 5m = -15 + 4
5m = -15 + 4

Combine like terms: -15 + 4 = -11
5m = -11

Divide each side by '5'.
m = -2.2

Simplifying
m = -2.2

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