-2*[4m-(2m-5)]=-4-3[2*(-m+4)-1]

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Solution for -2*[4m-(2m-5)]=-4-3[2*(-m+4)-1] equation:


Simplifying
-2[4m + -1(2m + -5)] = -4 + -3[2(-1m + 4) + -1]

Reorder the terms:
-2[4m + -1(-5 + 2m)] = -4 + -3[2(-1m + 4) + -1]
-2[4m + (-5 * -1 + 2m * -1)] = -4 + -3[2(-1m + 4) + -1]
-2[4m + (5 + -2m)] = -4 + -3[2(-1m + 4) + -1]

Reorder the terms:
-2[5 + 4m + -2m] = -4 + -3[2(-1m + 4) + -1]

Combine like terms: 4m + -2m = 2m
-2[5 + 2m] = -4 + -3[2(-1m + 4) + -1]
[5 * -2 + 2m * -2] = -4 + -3[2(-1m + 4) + -1]
[-10 + -4m] = -4 + -3[2(-1m + 4) + -1]

Reorder the terms:
-10 + -4m = -4 + -3[2(4 + -1m) + -1]
-10 + -4m = -4 + -3[(4 * 2 + -1m * 2) + -1]
-10 + -4m = -4 + -3[(8 + -2m) + -1]

Reorder the terms:
-10 + -4m = -4 + -3[8 + -1 + -2m]

Combine like terms: 8 + -1 = 7
-10 + -4m = -4 + -3[7 + -2m]
-10 + -4m = -4 + [7 * -3 + -2m * -3]
-10 + -4m = -4 + [-21 + 6m]

Combine like terms: -4 + -21 = -25
-10 + -4m = -25 + 6m

Solving
-10 + -4m = -25 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
-10 + -4m + -6m = -25 + 6m + -6m

Combine like terms: -4m + -6m = -10m
-10 + -10m = -25 + 6m + -6m

Combine like terms: 6m + -6m = 0
-10 + -10m = -25 + 0
-10 + -10m = -25

Add '10' to each side of the equation.
-10 + 10 + -10m = -25 + 10

Combine like terms: -10 + 10 = 0
0 + -10m = -25 + 10
-10m = -25 + 10

Combine like terms: -25 + 10 = -15
-10m = -15

Divide each side by '-10'.
m = 1.5

Simplifying
m = 1.5

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