6z+24=-3(4z+2)

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Solution for 6z+24=-3(4z+2) equation:


Simplifying
6z + 24 = -3(4z + 2)

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

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

Solving
24 + 6z = -6 + -12z

Solving for variable 'z'.

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

Add '12z' to each side of the equation.
24 + 6z + 12z = -6 + -12z + 12z

Combine like terms: 6z + 12z = 18z
24 + 18z = -6 + -12z + 12z

Combine like terms: -12z + 12z = 0
24 + 18z = -6 + 0
24 + 18z = -6

Add '-24' to each side of the equation.
24 + -24 + 18z = -6 + -24

Combine like terms: 24 + -24 = 0
0 + 18z = -6 + -24
18z = -6 + -24

Combine like terms: -6 + -24 = -30
18z = -30

Divide each side by '18'.
z = -1.666666667

Simplifying
z = -1.666666667

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