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Simplifying 8z + 15 = 3z + -20 Reorder the terms: 15 + 8z = 3z + -20 Reorder the terms: 15 + 8z = -20 + 3z Solving 15 + 8z = -20 + 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. 15 + 8z + -3z = -20 + 3z + -3z Combine like terms: 8z + -3z = 5z 15 + 5z = -20 + 3z + -3z Combine like terms: 3z + -3z = 0 15 + 5z = -20 + 0 15 + 5z = -20 Add '-15' to each side of the equation. 15 + -15 + 5z = -20 + -15 Combine like terms: 15 + -15 = 0 0 + 5z = -20 + -15 5z = -20 + -15 Combine like terms: -20 + -15 = -35 5z = -35 Divide each side by '5'. z = -7 Simplifying z = -7
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