.5(6z+10)-1=2(z-8)

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Solution for .5(6z+10)-1=2(z-8) equation:


Simplifying
0.5(6z + 10) + -1 = 2(z + -8)

Reorder the terms:
0.5(10 + 6z) + -1 = 2(z + -8)
(10 * 0.5 + 6z * 0.5) + -1 = 2(z + -8)
(5 + 3z) + -1 = 2(z + -8)

Reorder the terms:
5 + -1 + 3z = 2(z + -8)

Combine like terms: 5 + -1 = 4
4 + 3z = 2(z + -8)

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

Solving
4 + 3z = -16 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
4 + 3z + -2z = -16 + 2z + -2z

Combine like terms: 3z + -2z = 1z
4 + 1z = -16 + 2z + -2z

Combine like terms: 2z + -2z = 0
4 + 1z = -16 + 0
4 + 1z = -16

Add '-4' to each side of the equation.
4 + -4 + 1z = -16 + -4

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

Combine like terms: -16 + -4 = -20
1z = -20

Divide each side by '1'.
z = -20

Simplifying
z = -20

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