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Simplifying 24 + 8(2 + -3) = 7z + 5 Combine like terms: 2 + -3 = -1 24 + 8(-1) = 7z + 5 Multiply 8 * -1 24 + -8 = 7z + 5 Combine like terms: 24 + -8 = 16 16 = 7z + 5 Reorder the terms: 16 = 5 + 7z Solving 16 = 5 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 16 + -7z = 5 + 7z + -7z Combine like terms: 7z + -7z = 0 16 + -7z = 5 + 0 16 + -7z = 5 Add '-16' to each side of the equation. 16 + -16 + -7z = 5 + -16 Combine like terms: 16 + -16 = 0 0 + -7z = 5 + -16 -7z = 5 + -16 Combine like terms: 5 + -16 = -11 -7z = -11 Divide each side by '-7'. z = 1.571428571 Simplifying z = 1.571428571
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