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Simplifying 3(3z + -1) = 15 + 3z Reorder the terms: 3(-1 + 3z) = 15 + 3z (-1 * 3 + 3z * 3) = 15 + 3z (-3 + 9z) = 15 + 3z Solving -3 + 9z = 15 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -3 + 9z + -3z = 15 + 3z + -3z Combine like terms: 9z + -3z = 6z -3 + 6z = 15 + 3z + -3z Combine like terms: 3z + -3z = 0 -3 + 6z = 15 + 0 -3 + 6z = 15 Add '3' to each side of the equation. -3 + 3 + 6z = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 6z = 15 + 3 6z = 15 + 3 Combine like terms: 15 + 3 = 18 6z = 18 Divide each side by '6'. z = 3 Simplifying z = 3
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