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Simplifying 5z + 14 + 26z = 74 + 28z + -1(-3) Reorder the terms: 14 + 5z + 26z = 74 + 28z + -1(-3) Combine like terms: 5z + 26z = 31z 14 + 31z = 74 + 28z + -1(-3) Multiply -1 * -3 14 + 31z = 74 + 28z + 3 Reorder the terms: 14 + 31z = 74 + 3 + 28z Combine like terms: 74 + 3 = 77 14 + 31z = 77 + 28z Solving 14 + 31z = 77 + 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. 14 + 31z + -28z = 77 + 28z + -28z Combine like terms: 31z + -28z = 3z 14 + 3z = 77 + 28z + -28z Combine like terms: 28z + -28z = 0 14 + 3z = 77 + 0 14 + 3z = 77 Add '-14' to each side of the equation. 14 + -14 + 3z = 77 + -14 Combine like terms: 14 + -14 = 0 0 + 3z = 77 + -14 3z = 77 + -14 Combine like terms: 77 + -14 = 63 3z = 63 Divide each side by '3'. z = 21 Simplifying z = 21
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