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