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Simplifying 5(z + 1) = 2(3 + -2z) + 17 Reorder the terms: 5(1 + z) = 2(3 + -2z) + 17 (1 * 5 + z * 5) = 2(3 + -2z) + 17 (5 + 5z) = 2(3 + -2z) + 17 5 + 5z = (3 * 2 + -2z * 2) + 17 5 + 5z = (6 + -4z) + 17 Reorder the terms: 5 + 5z = 6 + 17 + -4z Combine like terms: 6 + 17 = 23 5 + 5z = 23 + -4z Solving 5 + 5z = 23 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 5 + 5z + 4z = 23 + -4z + 4z Combine like terms: 5z + 4z = 9z 5 + 9z = 23 + -4z + 4z Combine like terms: -4z + 4z = 0 5 + 9z = 23 + 0 5 + 9z = 23 Add '-5' to each side of the equation. 5 + -5 + 9z = 23 + -5 Combine like terms: 5 + -5 = 0 0 + 9z = 23 + -5 9z = 23 + -5 Combine like terms: 23 + -5 = 18 9z = 18 Divide each side by '9'. z = 2 Simplifying z = 2
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