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Simplifying 3(4z + -6) + 5(9 + z) = 163 Reorder the terms: 3(-6 + 4z) + 5(9 + z) = 163 (-6 * 3 + 4z * 3) + 5(9 + z) = 163 (-18 + 12z) + 5(9 + z) = 163 -18 + 12z + (9 * 5 + z * 5) = 163 -18 + 12z + (45 + 5z) = 163 Reorder the terms: -18 + 45 + 12z + 5z = 163 Combine like terms: -18 + 45 = 27 27 + 12z + 5z = 163 Combine like terms: 12z + 5z = 17z 27 + 17z = 163 Solving 27 + 17z = 163 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 17z = 163 + -27 Combine like terms: 27 + -27 = 0 0 + 17z = 163 + -27 17z = 163 + -27 Combine like terms: 163 + -27 = 136 17z = 136 Divide each side by '17'. z = 8 Simplifying z = 8
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