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Simplifying -12z + 12 = 4z + 10 Reorder the terms: 12 + -12z = 4z + 10 Reorder the terms: 12 + -12z = 10 + 4z Solving 12 + -12z = 10 + 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. 12 + -12z + -4z = 10 + 4z + -4z Combine like terms: -12z + -4z = -16z 12 + -16z = 10 + 4z + -4z Combine like terms: 4z + -4z = 0 12 + -16z = 10 + 0 12 + -16z = 10 Add '-12' to each side of the equation. 12 + -12 + -16z = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -16z = 10 + -12 -16z = 10 + -12 Combine like terms: 10 + -12 = -2 -16z = -2 Divide each side by '-16'. z = 0.125 Simplifying z = 0.125
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