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Simplifying 20 + -2(z + -5) = 5(10 + -3z) Reorder the terms: 20 + -2(-5 + z) = 5(10 + -3z) 20 + (-5 * -2 + z * -2) = 5(10 + -3z) 20 + (10 + -2z) = 5(10 + -3z) Combine like terms: 20 + 10 = 30 30 + -2z = 5(10 + -3z) 30 + -2z = (10 * 5 + -3z * 5) 30 + -2z = (50 + -15z) Solving 30 + -2z = 50 + -15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15z' to each side of the equation. 30 + -2z + 15z = 50 + -15z + 15z Combine like terms: -2z + 15z = 13z 30 + 13z = 50 + -15z + 15z Combine like terms: -15z + 15z = 0 30 + 13z = 50 + 0 30 + 13z = 50 Add '-30' to each side of the equation. 30 + -30 + 13z = 50 + -30 Combine like terms: 30 + -30 = 0 0 + 13z = 50 + -30 13z = 50 + -30 Combine like terms: 50 + -30 = 20 13z = 20 Divide each side by '13'. z = 1.538461538 Simplifying z = 1.538461538
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