-6z+2(5-3z)=8(-3z+2)+10

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Solution for -6z+2(5-3z)=8(-3z+2)+10 equation: 


Simplifying
-6z + 2(5 + -3z) = 8(-3z + 2) + 10
-6z + (5 * 2 + -3z * 2) = 8(-3z + 2) + 10
-6z + (10 + -6z) = 8(-3z + 2) + 10

Reorder the terms:
10 + -6z + -6z = 8(-3z + 2) + 10

Combine like terms: -6z + -6z = -12z
10 + -12z = 8(-3z + 2) + 10

Reorder the terms:
10 + -12z = 8(2 + -3z) + 10
10 + -12z = (2 * 8 + -3z * 8) + 10
10 + -12z = (16 + -24z) + 10

Reorder the terms:
10 + -12z = 16 + 10 + -24z

Combine like terms: 16 + 10 = 26
10 + -12z = 26 + -24z

Solving
10 + -12z = 26 + -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.
10 + -12z + 24z = 26 + -24z + 24z

Combine like terms: -12z + 24z = 12z
10 + 12z = 26 + -24z + 24z

Combine like terms: -24z + 24z = 0
10 + 12z = 26 + 0
10 + 12z = 26

Add '-10' to each side of the equation.
10 + -10 + 12z = 26 + -10

Combine like terms: 10 + -10 = 0
0 + 12z = 26 + -10
12z = 26 + -10

Combine like terms: 26 + -10 = 16
12z = 16

Divide each side by '12'.
z = 1.333333333

Simplifying
z = 1.333333333

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