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Simplifying (2z + 3) + 3(5 + -3z) = 0 Reorder the terms: (3 + 2z) + 3(5 + -3z) = 0 Remove parenthesis around (3 + 2z) 3 + 2z + 3(5 + -3z) = 0 3 + 2z + (5 * 3 + -3z * 3) = 0 3 + 2z + (15 + -9z) = 0 Reorder the terms: 3 + 15 + 2z + -9z = 0 Combine like terms: 3 + 15 = 18 18 + 2z + -9z = 0 Combine like terms: 2z + -9z = -7z 18 + -7z = 0 Solving 18 + -7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -7z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -7z = 0 + -18 -7z = 0 + -18 Combine like terms: 0 + -18 = -18 -7z = -18 Divide each side by '-7'. z = 2.571428571 Simplifying z = 2.571428571
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