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Simplifying 5z + -13 = 32 + 20z Reorder the terms: -13 + 5z = 32 + 20z Solving -13 + 5z = 32 + 20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20z' to each side of the equation. -13 + 5z + -20z = 32 + 20z + -20z Combine like terms: 5z + -20z = -15z -13 + -15z = 32 + 20z + -20z Combine like terms: 20z + -20z = 0 -13 + -15z = 32 + 0 -13 + -15z = 32 Add '13' to each side of the equation. -13 + 13 + -15z = 32 + 13 Combine like terms: -13 + 13 = 0 0 + -15z = 32 + 13 -15z = 32 + 13 Combine like terms: 32 + 13 = 45 -15z = 45 Divide each side by '-15'. z = -3 Simplifying z = -3
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