10(-3z+2)-4(-8z+7)=

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Solution for 10(-3z+2)-4(-8z+7)= equation:


Simplifying
10(-3z + 2) + -4(-8z + 7) = 0

Reorder the terms:
10(2 + -3z) + -4(-8z + 7) = 0
(2 * 10 + -3z * 10) + -4(-8z + 7) = 0
(20 + -30z) + -4(-8z + 7) = 0

Reorder the terms:
20 + -30z + -4(7 + -8z) = 0
20 + -30z + (7 * -4 + -8z * -4) = 0
20 + -30z + (-28 + 32z) = 0

Reorder the terms:
20 + -28 + -30z + 32z = 0

Combine like terms: 20 + -28 = -8
-8 + -30z + 32z = 0

Combine like terms: -30z + 32z = 2z
-8 + 2z = 0

Solving
-8 + 2z = 0

Solving for variable 'z'.

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

Add '8' to each side of the equation.
-8 + 8 + 2z = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 2z = 0 + 8
2z = 0 + 8

Combine like terms: 0 + 8 = 8
2z = 8

Divide each side by '2'.
z = 4

Simplifying
z = 4

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