3m+2-3(m+1)=-(-7m+4)

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Solution for 3m+2-3(m+1)=-(-7m+4) equation:


Simplifying
3m + 2 + -3(m + 1) = -1(-7m + 4)

Reorder the terms:
3m + 2 + -3(1 + m) = -1(-7m + 4)
3m + 2 + (1 * -3 + m * -3) = -1(-7m + 4)
3m + 2 + (-3 + -3m) = -1(-7m + 4)

Reorder the terms:
2 + -3 + 3m + -3m = -1(-7m + 4)

Combine like terms: 2 + -3 = -1
-1 + 3m + -3m = -1(-7m + 4)

Combine like terms: 3m + -3m = 0
-1 + 0 = -1(-7m + 4)
-1 = -1(-7m + 4)

Reorder the terms:
-1 = -1(4 + -7m)
-1 = (4 * -1 + -7m * -1)
-1 = (-4 + 7m)

Solving
-1 = -4 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
-1 + -7m = -4 + 7m + -7m

Combine like terms: 7m + -7m = 0
-1 + -7m = -4 + 0
-1 + -7m = -4

Add '1' to each side of the equation.
-1 + 1 + -7m = -4 + 1

Combine like terms: -1 + 1 = 0
0 + -7m = -4 + 1
-7m = -4 + 1

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

Divide each side by '-7'.
m = 0.4285714286

Simplifying
m = 0.4285714286

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