4(m-2)-(m+3)=m+1

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Solution for 4(m-2)-(m+3)=m+1 equation: 


Simplifying
4(m + -2) + -1(m + 3) = m + 1

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

Reorder the terms:
-8 + 4m + -1(3 + m) = m + 1
-8 + 4m + (3 * -1 + m * -1) = m + 1
-8 + 4m + (-3 + -1m) = m + 1

Reorder the terms:
-8 + -3 + 4m + -1m = m + 1

Combine like terms: -8 + -3 = -11
-11 + 4m + -1m = m + 1

Combine like terms: 4m + -1m = 3m
-11 + 3m = m + 1

Reorder the terms:
-11 + 3m = 1 + m

Solving
-11 + 3m = 1 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
-11 + 3m + -1m = 1 + m + -1m

Combine like terms: 3m + -1m = 2m
-11 + 2m = 1 + m + -1m

Combine like terms: m + -1m = 0
-11 + 2m = 1 + 0
-11 + 2m = 1

Add '11' to each side of the equation.
-11 + 11 + 2m = 1 + 11

Combine like terms: -11 + 11 = 0
0 + 2m = 1 + 11
2m = 1 + 11

Combine like terms: 1 + 11 = 12
2m = 12

Divide each side by '2'.
m = 6

Simplifying
m = 6

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