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Simplifying 10z + 4 = (5z + 8) + -12 Reorder the terms: 4 + 10z = (5z + 8) + -12 Reorder the terms: 4 + 10z = (8 + 5z) + -12 Remove parenthesis around (8 + 5z) 4 + 10z = 8 + 5z + -12 Reorder the terms: 4 + 10z = 8 + -12 + 5z Combine like terms: 8 + -12 = -4 4 + 10z = -4 + 5z Solving 4 + 10z = -4 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 4 + 10z + -5z = -4 + 5z + -5z Combine like terms: 10z + -5z = 5z 4 + 5z = -4 + 5z + -5z Combine like terms: 5z + -5z = 0 4 + 5z = -4 + 0 4 + 5z = -4 Add '-4' to each side of the equation. 4 + -4 + 5z = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 5z = -4 + -4 5z = -4 + -4 Combine like terms: -4 + -4 = -8 5z = -8 Divide each side by '5'. z = -1.6 Simplifying z = -1.6
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