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Simplifying 5(3z + 2) = 6z + -8 Reorder the terms: 5(2 + 3z) = 6z + -8 (2 * 5 + 3z * 5) = 6z + -8 (10 + 15z) = 6z + -8 Reorder the terms: 10 + 15z = -8 + 6z Solving 10 + 15z = -8 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 10 + 15z + -6z = -8 + 6z + -6z Combine like terms: 15z + -6z = 9z 10 + 9z = -8 + 6z + -6z Combine like terms: 6z + -6z = 0 10 + 9z = -8 + 0 10 + 9z = -8 Add '-10' to each side of the equation. 10 + -10 + 9z = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 9z = -8 + -10 9z = -8 + -10 Combine like terms: -8 + -10 = -18 9z = -18 Divide each side by '9'. z = -2 Simplifying z = -2
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