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Simplifying -45 = -3(9 + 3z) -45 = (9 * -3 + 3z * -3) -45 = (-27 + -9z) Solving -45 = -27 + -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. -45 + 9z = -27 + -9z + 9z Combine like terms: -9z + 9z = 0 -45 + 9z = -27 + 0 -45 + 9z = -27 Add '45' to each side of the equation. -45 + 45 + 9z = -27 + 45 Combine like terms: -45 + 45 = 0 0 + 9z = -27 + 45 9z = -27 + 45 Combine like terms: -27 + 45 = 18 9z = 18 Divide each side by '9'. z = 2 Simplifying z = 2
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