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Simplifying 8 = 8z + -1(10z + 3) Reorder the terms: 8 = 8z + -1(3 + 10z) 8 = 8z + (3 * -1 + 10z * -1) 8 = 8z + (-3 + -10z) Reorder the terms: 8 = -3 + 8z + -10z Combine like terms: 8z + -10z = -2z 8 = -3 + -2z Solving 8 = -3 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 8 + 2z = -3 + -2z + 2z Combine like terms: -2z + 2z = 0 8 + 2z = -3 + 0 8 + 2z = -3 Add '-8' to each side of the equation. 8 + -8 + 2z = -3 + -8 Combine like terms: 8 + -8 = 0 0 + 2z = -3 + -8 2z = -3 + -8 Combine like terms: -3 + -8 = -11 2z = -11 Divide each side by '2'. z = -5.5 Simplifying z = -5.5
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