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Simplifying -27 = -3(2z + 5) Reorder the terms: -27 = -3(5 + 2z) -27 = (5 * -3 + 2z * -3) -27 = (-15 + -6z) Solving -27 = -15 + -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. -27 + 6z = -15 + -6z + 6z Combine like terms: -6z + 6z = 0 -27 + 6z = -15 + 0 -27 + 6z = -15 Add '27' to each side of the equation. -27 + 27 + 6z = -15 + 27 Combine like terms: -27 + 27 = 0 0 + 6z = -15 + 27 6z = -15 + 27 Combine like terms: -15 + 27 = 12 6z = 12 Divide each side by '6'. z = 2 Simplifying z = 2
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