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Simplifying 3z + 15 = 3(3z + -2) + 9 Reorder the terms: 15 + 3z = 3(3z + -2) + 9 Reorder the terms: 15 + 3z = 3(-2 + 3z) + 9 15 + 3z = (-2 * 3 + 3z * 3) + 9 15 + 3z = (-6 + 9z) + 9 Reorder the terms: 15 + 3z = -6 + 9 + 9z Combine like terms: -6 + 9 = 3 15 + 3z = 3 + 9z Solving 15 + 3z = 3 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 15 + 3z + -9z = 3 + 9z + -9z Combine like terms: 3z + -9z = -6z 15 + -6z = 3 + 9z + -9z Combine like terms: 9z + -9z = 0 15 + -6z = 3 + 0 15 + -6z = 3 Add '-15' to each side of the equation. 15 + -15 + -6z = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -6z = 3 + -15 -6z = 3 + -15 Combine like terms: 3 + -15 = -12 -6z = -12 Divide each side by '-6'. z = 2 Simplifying z = 2
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