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

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


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

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

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

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

Reorder the terms:
1 + -2m = 6 + -4 + 2m

Combine like terms: 6 + -4 = 2
1 + -2m = 2 + 2m

Solving
1 + -2m = 2 + 2m

Solving for variable 'm'.

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

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

Combine like terms: -2m + -2m = -4m
1 + -4m = 2 + 2m + -2m

Combine like terms: 2m + -2m = 0
1 + -4m = 2 + 0
1 + -4m = 2

Add '-1' to each side of the equation.
1 + -1 + -4m = 2 + -1

Combine like terms: 1 + -1 = 0
0 + -4m = 2 + -1
-4m = 2 + -1

Combine like terms: 2 + -1 = 1
-4m = 1

Divide each side by '-4'.
m = -0.25

Simplifying
m = -0.25

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