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Simplifying 5(2z + 6) = -4(-5 + -2z) + 32 Reorder the terms: 5(6 + 2z) = -4(-5 + -2z) + 32 (6 * 5 + 2z * 5) = -4(-5 + -2z) + 32 (30 + 10z) = -4(-5 + -2z) + 32 30 + 10z = (-5 * -4 + -2z * -4) + 32 30 + 10z = (20 + 8z) + 32 Reorder the terms: 30 + 10z = 20 + 32 + 8z Combine like terms: 20 + 32 = 52 30 + 10z = 52 + 8z Solving 30 + 10z = 52 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 30 + 10z + -8z = 52 + 8z + -8z Combine like terms: 10z + -8z = 2z 30 + 2z = 52 + 8z + -8z Combine like terms: 8z + -8z = 0 30 + 2z = 52 + 0 30 + 2z = 52 Add '-30' to each side of the equation. 30 + -30 + 2z = 52 + -30 Combine like terms: 30 + -30 = 0 0 + 2z = 52 + -30 2z = 52 + -30 Combine like terms: 52 + -30 = 22 2z = 22 Divide each side by '2'. z = 11 Simplifying z = 11
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