4(m+3)-5(m-3)=1

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Solution for 4(m+3)-5(m-3)=1 equation: 


Simplifying
4(m + 3) + -5(m + -3) = 1

Reorder the terms:
4(3 + m) + -5(m + -3) = 1
(3 * 4 + m * 4) + -5(m + -3) = 1
(12 + 4m) + -5(m + -3) = 1

Reorder the terms:
12 + 4m + -5(-3 + m) = 1
12 + 4m + (-3 * -5 + m * -5) = 1
12 + 4m + (15 + -5m) = 1

Reorder the terms:
12 + 15 + 4m + -5m = 1

Combine like terms: 12 + 15 = 27
27 + 4m + -5m = 1

Combine like terms: 4m + -5m = -1m
27 + -1m = 1

Solving
27 + -1m = 1

Solving for variable 'm'.

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

Add '-27' to each side of the equation.
27 + -27 + -1m = 1 + -27

Combine like terms: 27 + -27 = 0
0 + -1m = 1 + -27
-1m = 1 + -27

Combine like terms: 1 + -27 = -26
-1m = -26

Divide each side by '-1'.
m = 26

Simplifying
m = 26

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