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Simplifying 4z + 13 + 24z = 52 + 26z + -1(-1) Reorder the terms: 13 + 4z + 24z = 52 + 26z + -1(-1) Combine like terms: 4z + 24z = 28z 13 + 28z = 52 + 26z + -1(-1) Multiply -1 * -1 13 + 28z = 52 + 26z + 1 Reorder the terms: 13 + 28z = 52 + 1 + 26z Combine like terms: 52 + 1 = 53 13 + 28z = 53 + 26z Solving 13 + 28z = 53 + 26z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-26z' to each side of the equation. 13 + 28z + -26z = 53 + 26z + -26z Combine like terms: 28z + -26z = 2z 13 + 2z = 53 + 26z + -26z Combine like terms: 26z + -26z = 0 13 + 2z = 53 + 0 13 + 2z = 53 Add '-13' to each side of the equation. 13 + -13 + 2z = 53 + -13 Combine like terms: 13 + -13 = 0 0 + 2z = 53 + -13 2z = 53 + -13 Combine like terms: 53 + -13 = 40 2z = 40 Divide each side by '2'. z = 20 Simplifying z = 20
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