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Simplifying 8z + -19 = 15z + 9 Reorder the terms: -19 + 8z = 15z + 9 Reorder the terms: -19 + 8z = 9 + 15z Solving -19 + 8z = 9 + 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. -19 + 8z + -15z = 9 + 15z + -15z Combine like terms: 8z + -15z = -7z -19 + -7z = 9 + 15z + -15z Combine like terms: 15z + -15z = 0 -19 + -7z = 9 + 0 -19 + -7z = 9 Add '19' to each side of the equation. -19 + 19 + -7z = 9 + 19 Combine like terms: -19 + 19 = 0 0 + -7z = 9 + 19 -7z = 9 + 19 Combine like terms: 9 + 19 = 28 -7z = 28 Divide each side by '-7'. z = -4 Simplifying z = -4
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