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Simplifying -1z + -1(5 + 13z) + 10 = -6(4z + 11) + -9 -1z + (5 * -1 + 13z * -1) + 10 = -6(4z + 11) + -9 -1z + (-5 + -13z) + 10 = -6(4z + 11) + -9 Reorder the terms: -5 + 10 + -1z + -13z = -6(4z + 11) + -9 Combine like terms: -5 + 10 = 5 5 + -1z + -13z = -6(4z + 11) + -9 Combine like terms: -1z + -13z = -14z 5 + -14z = -6(4z + 11) + -9 Reorder the terms: 5 + -14z = -6(11 + 4z) + -9 5 + -14z = (11 * -6 + 4z * -6) + -9 5 + -14z = (-66 + -24z) + -9 Reorder the terms: 5 + -14z = -66 + -9 + -24z Combine like terms: -66 + -9 = -75 5 + -14z = -75 + -24z Solving 5 + -14z = -75 + -24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24z' to each side of the equation. 5 + -14z + 24z = -75 + -24z + 24z Combine like terms: -14z + 24z = 10z 5 + 10z = -75 + -24z + 24z Combine like terms: -24z + 24z = 0 5 + 10z = -75 + 0 5 + 10z = -75 Add '-5' to each side of the equation. 5 + -5 + 10z = -75 + -5 Combine like terms: 5 + -5 = 0 0 + 10z = -75 + -5 10z = -75 + -5 Combine like terms: -75 + -5 = -80 10z = -80 Divide each side by '10'. z = -8 Simplifying z = -8
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