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Simplifying 8(z + 5) = 9z + -2 Reorder the terms: 8(5 + z) = 9z + -2 (5 * 8 + z * 8) = 9z + -2 (40 + 8z) = 9z + -2 Reorder the terms: 40 + 8z = -2 + 9z Solving 40 + 8z = -2 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 40 + 8z + -9z = -2 + 9z + -9z Combine like terms: 8z + -9z = -1z 40 + -1z = -2 + 9z + -9z Combine like terms: 9z + -9z = 0 40 + -1z = -2 + 0 40 + -1z = -2 Add '-40' to each side of the equation. 40 + -40 + -1z = -2 + -40 Combine like terms: 40 + -40 = 0 0 + -1z = -2 + -40 -1z = -2 + -40 Combine like terms: -2 + -40 = -42 -1z = -42 Divide each side by '-1'. z = 42 Simplifying z = 42
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