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Simplifying 3(2z + 25) = 78 + 2z + -1 Reorder the terms: 3(25 + 2z) = 78 + 2z + -1 (25 * 3 + 2z * 3) = 78 + 2z + -1 (75 + 6z) = 78 + 2z + -1 Reorder the terms: 75 + 6z = 78 + -1 + 2z Combine like terms: 78 + -1 = 77 75 + 6z = 77 + 2z Solving 75 + 6z = 77 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 75 + 6z + -2z = 77 + 2z + -2z Combine like terms: 6z + -2z = 4z 75 + 4z = 77 + 2z + -2z Combine like terms: 2z + -2z = 0 75 + 4z = 77 + 0 75 + 4z = 77 Add '-75' to each side of the equation. 75 + -75 + 4z = 77 + -75 Combine like terms: 75 + -75 = 0 0 + 4z = 77 + -75 4z = 77 + -75 Combine like terms: 77 + -75 = 2 4z = 2 Divide each side by '4'. z = 0.5 Simplifying z = 0.5
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