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Simplifying 3(2z + 3) = (8 + -5z) Reorder the terms: 3(3 + 2z) = (8 + -5z) (3 * 3 + 2z * 3) = (8 + -5z) (9 + 6z) = (8 + -5z) Remove parenthesis around (8 + -5z) 9 + 6z = 8 + -5z Solving 9 + 6z = 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 + 6z + 5z = 8 + -5z + 5z Combine like terms: 6z + 5z = 11z 9 + 11z = 8 + -5z + 5z Combine like terms: -5z + 5z = 0 9 + 11z = 8 + 0 9 + 11z = 8 Add '-9' to each side of the equation. 9 + -9 + 11z = 8 + -9 Combine like terms: 9 + -9 = 0 0 + 11z = 8 + -9 11z = 8 + -9 Combine like terms: 8 + -9 = -1 11z = -1 Divide each side by '11'. z = -0.09090909091 Simplifying z = -0.09090909091
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