6(4z+2)=-3(8z+4)

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Solution for 6(4z+2)=-3(8z+4) equation:


Simplifying
6(4z + 2) = -3(8z + 4)

Reorder the terms:
6(2 + 4z) = -3(8z + 4)
(2 * 6 + 4z * 6) = -3(8z + 4)
(12 + 24z) = -3(8z + 4)

Reorder the terms:
12 + 24z = -3(4 + 8z)
12 + 24z = (4 * -3 + 8z * -3)
12 + 24z = (-12 + -24z)

Solving
12 + 24z = -12 + -24z

Solving for variable 'z'.

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

Add '24z' to each side of the equation.
12 + 24z + 24z = -12 + -24z + 24z

Combine like terms: 24z + 24z = 48z
12 + 48z = -12 + -24z + 24z

Combine like terms: -24z + 24z = 0
12 + 48z = -12 + 0
12 + 48z = -12

Add '-12' to each side of the equation.
12 + -12 + 48z = -12 + -12

Combine like terms: 12 + -12 = 0
0 + 48z = -12 + -12
48z = -12 + -12

Combine like terms: -12 + -12 = -24
48z = -24

Divide each side by '48'.
z = -0.5

Simplifying
z = -0.5

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