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Simplifying 8(z + 4) = 5(13 + z) * 3 Reorder the terms: 8(4 + z) = 5(13 + z) * 3 (4 * 8 + z * 8) = 5(13 + z) * 3 (32 + 8z) = 5(13 + z) * 3 Reorder the terms for easier multiplication: 32 + 8z = 5 * 3(13 + z) Multiply 5 * 3 32 + 8z = 15(13 + z) 32 + 8z = (13 * 15 + z * 15) 32 + 8z = (195 + 15z) Solving 32 + 8z = 195 + 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. 32 + 8z + -15z = 195 + 15z + -15z Combine like terms: 8z + -15z = -7z 32 + -7z = 195 + 15z + -15z Combine like terms: 15z + -15z = 0 32 + -7z = 195 + 0 32 + -7z = 195 Add '-32' to each side of the equation. 32 + -32 + -7z = 195 + -32 Combine like terms: 32 + -32 = 0 0 + -7z = 195 + -32 -7z = 195 + -32 Combine like terms: 195 + -32 = 163 -7z = 163 Divide each side by '-7'. z = -23.28571429 Simplifying z = -23.28571429
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