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Simplifying 3(3 + 2z) + -3z = 5z + -8 (3 * 3 + 2z * 3) + -3z = 5z + -8 (9 + 6z) + -3z = 5z + -8 Combine like terms: 6z + -3z = 3z 9 + 3z = 5z + -8 Reorder the terms: 9 + 3z = -8 + 5z Solving 9 + 3z = -8 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 9 + 3z + -5z = -8 + 5z + -5z Combine like terms: 3z + -5z = -2z 9 + -2z = -8 + 5z + -5z Combine like terms: 5z + -5z = 0 9 + -2z = -8 + 0 9 + -2z = -8 Add '-9' to each side of the equation. 9 + -9 + -2z = -8 + -9 Combine like terms: 9 + -9 = 0 0 + -2z = -8 + -9 -2z = -8 + -9 Combine like terms: -8 + -9 = -17 -2z = -17 Divide each side by '-2'. z = 8.5 Simplifying z = 8.5
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