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Simplifying 4z + 11 + 26z = 52 + 28z + -1(-3) Reorder the terms: 11 + 4z + 26z = 52 + 28z + -1(-3) Combine like terms: 4z + 26z = 30z 11 + 30z = 52 + 28z + -1(-3) Multiply -1 * -3 11 + 30z = 52 + 28z + 3 Reorder the terms: 11 + 30z = 52 + 3 + 28z Combine like terms: 52 + 3 = 55 11 + 30z = 55 + 28z Solving 11 + 30z = 55 + 28z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-28z' to each side of the equation. 11 + 30z + -28z = 55 + 28z + -28z Combine like terms: 30z + -28z = 2z 11 + 2z = 55 + 28z + -28z Combine like terms: 28z + -28z = 0 11 + 2z = 55 + 0 11 + 2z = 55 Add '-11' to each side of the equation. 11 + -11 + 2z = 55 + -11 Combine like terms: 11 + -11 = 0 0 + 2z = 55 + -11 2z = 55 + -11 Combine like terms: 55 + -11 = 44 2z = 44 Divide each side by '2'. z = 22 Simplifying z = 22
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