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Simplifying 8z + -7 = 10z + 7 + 5z Reorder the terms: -7 + 8z = 10z + 7 + 5z Reorder the terms: -7 + 8z = 7 + 10z + 5z Combine like terms: 10z + 5z = 15z -7 + 8z = 7 + 15z Solving -7 + 8z = 7 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. -7 + 8z + -15z = 7 + 15z + -15z Combine like terms: 8z + -15z = -7z -7 + -7z = 7 + 15z + -15z Combine like terms: 15z + -15z = 0 -7 + -7z = 7 + 0 -7 + -7z = 7 Add '7' to each side of the equation. -7 + 7 + -7z = 7 + 7 Combine like terms: -7 + 7 = 0 0 + -7z = 7 + 7 -7z = 7 + 7 Combine like terms: 7 + 7 = 14 -7z = 14 Divide each side by '-7'. z = -2 Simplifying z = -2
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