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Simplifying 5(7z + -6) + 8(9 + z) = 171 Reorder the terms: 5(-6 + 7z) + 8(9 + z) = 171 (-6 * 5 + 7z * 5) + 8(9 + z) = 171 (-30 + 35z) + 8(9 + z) = 171 -30 + 35z + (9 * 8 + z * 8) = 171 -30 + 35z + (72 + 8z) = 171 Reorder the terms: -30 + 72 + 35z + 8z = 171 Combine like terms: -30 + 72 = 42 42 + 35z + 8z = 171 Combine like terms: 35z + 8z = 43z 42 + 43z = 171 Solving 42 + 43z = 171 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 43z = 171 + -42 Combine like terms: 42 + -42 = 0 0 + 43z = 171 + -42 43z = 171 + -42 Combine like terms: 171 + -42 = 129 43z = 129 Divide each side by '43'. z = 3 Simplifying z = 3
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