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Simplifying 3(1 + 2z) + z = 2z + -17 (1 * 3 + 2z * 3) + z = 2z + -17 (3 + 6z) + z = 2z + -17 Combine like terms: 6z + z = 7z 3 + 7z = 2z + -17 Reorder the terms: 3 + 7z = -17 + 2z Solving 3 + 7z = -17 + 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. 3 + 7z + -2z = -17 + 2z + -2z Combine like terms: 7z + -2z = 5z 3 + 5z = -17 + 2z + -2z Combine like terms: 2z + -2z = 0 3 + 5z = -17 + 0 3 + 5z = -17 Add '-3' to each side of the equation. 3 + -3 + 5z = -17 + -3 Combine like terms: 3 + -3 = 0 0 + 5z = -17 + -3 5z = -17 + -3 Combine like terms: -17 + -3 = -20 5z = -20 Divide each side by '5'. z = -4 Simplifying z = -4
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