3[m-2]-4[m+5]=10

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Solution for 3[m-2]-4[m+5]=10 equation: 


Simplifying
3[m + -2] + -4[m + 5] = 10

Reorder the terms:
3[-2 + m] + -4[m + 5] = 10
[-2 * 3 + m * 3] + -4[m + 5] = 10
[-6 + 3m] + -4[m + 5] = 10

Reorder the terms:
-6 + 3m + -4[5 + m] = 10
-6 + 3m + [5 * -4 + m * -4] = 10
-6 + 3m + [-20 + -4m] = 10

Reorder the terms:
-6 + -20 + 3m + -4m = 10

Combine like terms: -6 + -20 = -26
-26 + 3m + -4m = 10

Combine like terms: 3m + -4m = -1m
-26 + -1m = 10

Solving
-26 + -1m = 10

Solving for variable 'm'.

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

Add '26' to each side of the equation.
-26 + 26 + -1m = 10 + 26

Combine like terms: -26 + 26 = 0
0 + -1m = 10 + 26
-1m = 10 + 26

Combine like terms: 10 + 26 = 36
-1m = 36

Divide each side by '-1'.
m = -36

Simplifying
m = -36

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