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Simplifying 6z + -1(8z + -10) = 87 + -1(21 + 10z) Reorder the terms: 6z + -1(-10 + 8z) = 87 + -1(21 + 10z) 6z + (-10 * -1 + 8z * -1) = 87 + -1(21 + 10z) 6z + (10 + -8z) = 87 + -1(21 + 10z) Reorder the terms: 10 + 6z + -8z = 87 + -1(21 + 10z) Combine like terms: 6z + -8z = -2z 10 + -2z = 87 + -1(21 + 10z) 10 + -2z = 87 + (21 * -1 + 10z * -1) 10 + -2z = 87 + (-21 + -10z) Combine like terms: 87 + -21 = 66 10 + -2z = 66 + -10z Solving 10 + -2z = 66 + -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. 10 + -2z + 10z = 66 + -10z + 10z Combine like terms: -2z + 10z = 8z 10 + 8z = 66 + -10z + 10z Combine like terms: -10z + 10z = 0 10 + 8z = 66 + 0 10 + 8z = 66 Add '-10' to each side of the equation. 10 + -10 + 8z = 66 + -10 Combine like terms: 10 + -10 = 0 0 + 8z = 66 + -10 8z = 66 + -10 Combine like terms: 66 + -10 = 56 8z = 56 Divide each side by '8'. z = 7 Simplifying z = 7
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