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

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


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

Reorder the terms:
4(4 + 3m) = 6z + -3(3z + 2)
(4 * 4 + 3m * 4) = 6z + -3(3z + 2)
(16 + 12m) = 6z + -3(3z + 2)

Reorder the terms:
16 + 12m = 6z + -3(2 + 3z)
16 + 12m = 6z + (2 * -3 + 3z * -3)
16 + 12m = 6z + (-6 + -9z)

Reorder the terms:
16 + 12m = -6 + 6z + -9z

Combine like terms: 6z + -9z = -3z
16 + 12m = -6 + -3z

Solving
16 + 12m = -6 + -3z

Solving for variable 'm'.

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

Add '-16' to each side of the equation.
16 + -16 + 12m = -6 + -16 + -3z

Combine like terms: 16 + -16 = 0
0 + 12m = -6 + -16 + -3z
12m = -6 + -16 + -3z

Combine like terms: -6 + -16 = -22
12m = -22 + -3z

Divide each side by '12'.
m = -1.833333333 + -0.25z

Simplifying
m = -1.833333333 + -0.25z

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