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Simplifying 3(4z + 18) + -7(2z + -5) = 110 + -9z Reorder the terms: 3(18 + 4z) + -7(2z + -5) = 110 + -9z (18 * 3 + 4z * 3) + -7(2z + -5) = 110 + -9z (54 + 12z) + -7(2z + -5) = 110 + -9z Reorder the terms: 54 + 12z + -7(-5 + 2z) = 110 + -9z 54 + 12z + (-5 * -7 + 2z * -7) = 110 + -9z 54 + 12z + (35 + -14z) = 110 + -9z Reorder the terms: 54 + 35 + 12z + -14z = 110 + -9z Combine like terms: 54 + 35 = 89 89 + 12z + -14z = 110 + -9z Combine like terms: 12z + -14z = -2z 89 + -2z = 110 + -9z Solving 89 + -2z = 110 + -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. 89 + -2z + 9z = 110 + -9z + 9z Combine like terms: -2z + 9z = 7z 89 + 7z = 110 + -9z + 9z Combine like terms: -9z + 9z = 0 89 + 7z = 110 + 0 89 + 7z = 110 Add '-89' to each side of the equation. 89 + -89 + 7z = 110 + -89 Combine like terms: 89 + -89 = 0 0 + 7z = 110 + -89 7z = 110 + -89 Combine like terms: 110 + -89 = 21 7z = 21 Divide each side by '7'. z = 3 Simplifying z = 3
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