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Simplifying 5z + 15 = 8z + -5 Reorder the terms: 15 + 5z = 8z + -5 Reorder the terms: 15 + 5z = -5 + 8z Solving 15 + 5z = -5 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 15 + 5z + -8z = -5 + 8z + -8z Combine like terms: 5z + -8z = -3z 15 + -3z = -5 + 8z + -8z Combine like terms: 8z + -8z = 0 15 + -3z = -5 + 0 15 + -3z = -5 Add '-15' to each side of the equation. 15 + -15 + -3z = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -3z = -5 + -15 -3z = -5 + -15 Combine like terms: -5 + -15 = -20 -3z = -20 Divide each side by '-3'. z = 6.666666667 Simplifying z = 6.666666667
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