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Simplifying 3 + 9z + 28 = 4(2z + 3) Reorder the terms: 3 + 28 + 9z = 4(2z + 3) Combine like terms: 3 + 28 = 31 31 + 9z = 4(2z + 3) Reorder the terms: 31 + 9z = 4(3 + 2z) 31 + 9z = (3 * 4 + 2z * 4) 31 + 9z = (12 + 8z) Solving 31 + 9z = 12 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 31 + 9z + -8z = 12 + 8z + -8z Combine like terms: 9z + -8z = 1z 31 + 1z = 12 + 8z + -8z Combine like terms: 8z + -8z = 0 31 + 1z = 12 + 0 31 + 1z = 12 Add '-31' to each side of the equation. 31 + -31 + 1z = 12 + -31 Combine like terms: 31 + -31 = 0 0 + 1z = 12 + -31 1z = 12 + -31 Combine like terms: 12 + -31 = -19 1z = -19 Divide each side by '1'. z = -19 Simplifying z = -19
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