3z+15=2(2z-8)

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Solution for 3z+15=2(2z-8) equation:


Simplifying
3z + 15 = 2(2z + -8)

Reorder the terms:
15 + 3z = 2(2z + -8)

Reorder the terms:
15 + 3z = 2(-8 + 2z)
15 + 3z = (-8 * 2 + 2z * 2)
15 + 3z = (-16 + 4z)

Solving
15 + 3z = -16 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
15 + 3z + -4z = -16 + 4z + -4z

Combine like terms: 3z + -4z = -1z
15 + -1z = -16 + 4z + -4z

Combine like terms: 4z + -4z = 0
15 + -1z = -16 + 0
15 + -1z = -16

Add '-15' to each side of the equation.
15 + -15 + -1z = -16 + -15

Combine like terms: 15 + -15 = 0
0 + -1z = -16 + -15
-1z = -16 + -15

Combine like terms: -16 + -15 = -31
-1z = -31

Divide each side by '-1'.
z = 31

Simplifying
z = 31

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