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Simplifying 8 + -12z = 15 + -3z + 20 Reorder the terms: 8 + -12z = 15 + 20 + -3z Combine like terms: 15 + 20 = 35 8 + -12z = 35 + -3z Solving 8 + -12z = 35 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 8 + -12z + 3z = 35 + -3z + 3z Combine like terms: -12z + 3z = -9z 8 + -9z = 35 + -3z + 3z Combine like terms: -3z + 3z = 0 8 + -9z = 35 + 0 8 + -9z = 35 Add '-8' to each side of the equation. 8 + -8 + -9z = 35 + -8 Combine like terms: 8 + -8 = 0 0 + -9z = 35 + -8 -9z = 35 + -8 Combine like terms: 35 + -8 = 27 -9z = 27 Divide each side by '-9'. z = -3 Simplifying z = -3
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