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Simplifying 5(z + 5) = 2(3 + -2z) + 17 Reorder the terms: 5(5 + z) = 2(3 + -2z) + 17 (5 * 5 + z * 5) = 2(3 + -2z) + 17 (25 + 5z) = 2(3 + -2z) + 17 25 + 5z = (3 * 2 + -2z * 2) + 17 25 + 5z = (6 + -4z) + 17 Reorder the terms: 25 + 5z = 6 + 17 + -4z Combine like terms: 6 + 17 = 23 25 + 5z = 23 + -4z Solving 25 + 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. 25 + 5z + 4z = 23 + -4z + 4z Combine like terms: 5z + 4z = 9z 25 + 9z = 23 + -4z + 4z Combine like terms: -4z + 4z = 0 25 + 9z = 23 + 0 25 + 9z = 23 Add '-25' to each side of the equation. 25 + -25 + 9z = 23 + -25 Combine like terms: 25 + -25 = 0 0 + 9z = 23 + -25 9z = 23 + -25 Combine like terms: 23 + -25 = -2 9z = -2 Divide each side by '9'. z = -0.2222222222 Simplifying z = -0.2222222222
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