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

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


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

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

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

Combine like terms: -8 + 1 = -7
-7 + 4m + -1m = (m + 3)

Combine like terms: 4m + -1m = 3m
-7 + 3m = (m + 3)

Reorder the terms:
-7 + 3m = (3 + m)

Remove parenthesis around (3 + m)
-7 + 3m = 3 + m

Solving
-7 + 3m = 3 + 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.
-7 + 3m + -1m = 3 + m + -1m

Combine like terms: 3m + -1m = 2m
-7 + 2m = 3 + m + -1m

Combine like terms: m + -1m = 0
-7 + 2m = 3 + 0
-7 + 2m = 3

Add '7' to each side of the equation.
-7 + 7 + 2m = 3 + 7

Combine like terms: -7 + 7 = 0
0 + 2m = 3 + 7
2m = 3 + 7

Combine like terms: 3 + 7 = 10
2m = 10

Divide each side by '2'.
m = 5

Simplifying
m = 5

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