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Simplifying 3(z + -3) = 39 + -3(z + -2) Reorder the terms: 3(-3 + z) = 39 + -3(z + -2) (-3 * 3 + z * 3) = 39 + -3(z + -2) (-9 + 3z) = 39 + -3(z + -2) Reorder the terms: -9 + 3z = 39 + -3(-2 + z) -9 + 3z = 39 + (-2 * -3 + z * -3) -9 + 3z = 39 + (6 + -3z) Combine like terms: 39 + 6 = 45 -9 + 3z = 45 + -3z Solving -9 + 3z = 45 + -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. -9 + 3z + 3z = 45 + -3z + 3z Combine like terms: 3z + 3z = 6z -9 + 6z = 45 + -3z + 3z Combine like terms: -3z + 3z = 0 -9 + 6z = 45 + 0 -9 + 6z = 45 Add '9' to each side of the equation. -9 + 9 + 6z = 45 + 9 Combine like terms: -9 + 9 = 0 0 + 6z = 45 + 9 6z = 45 + 9 Combine like terms: 45 + 9 = 54 6z = 54 Divide each side by '6'. z = 9 Simplifying z = 9
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