4m-3(5-2m)=6(m-3)+2m+1

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Solution for 4m-3(5-2m)=6(m-3)+2m+1 equation:


Simplifying
4m + -3(5 + -2m) = 6(m + -3) + 2m + 1
4m + (5 * -3 + -2m * -3) = 6(m + -3) + 2m + 1
4m + (-15 + 6m) = 6(m + -3) + 2m + 1

Reorder the terms:
-15 + 4m + 6m = 6(m + -3) + 2m + 1

Combine like terms: 4m + 6m = 10m
-15 + 10m = 6(m + -3) + 2m + 1

Reorder the terms:
-15 + 10m = 6(-3 + m) + 2m + 1
-15 + 10m = (-3 * 6 + m * 6) + 2m + 1
-15 + 10m = (-18 + 6m) + 2m + 1

Reorder the terms:
-15 + 10m = -18 + 1 + 6m + 2m

Combine like terms: -18 + 1 = -17
-15 + 10m = -17 + 6m + 2m

Combine like terms: 6m + 2m = 8m
-15 + 10m = -17 + 8m

Solving
-15 + 10m = -17 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
-15 + 10m + -8m = -17 + 8m + -8m

Combine like terms: 10m + -8m = 2m
-15 + 2m = -17 + 8m + -8m

Combine like terms: 8m + -8m = 0
-15 + 2m = -17 + 0
-15 + 2m = -17

Add '15' to each side of the equation.
-15 + 15 + 2m = -17 + 15

Combine like terms: -15 + 15 = 0
0 + 2m = -17 + 15
2m = -17 + 15

Combine like terms: -17 + 15 = -2
2m = -2

Divide each side by '2'.
m = -1

Simplifying
m = -1

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