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Simplifying -3(z + 30) = -27 Reorder the terms: -3(30 + z) = -27 (30 * -3 + z * -3) = -27 (-90 + -3z) = -27 Solving -90 + -3z = -27 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + -3z = -27 + 90 Combine like terms: -90 + 90 = 0 0 + -3z = -27 + 90 -3z = -27 + 90 Combine like terms: -27 + 90 = 63 -3z = 63 Divide each side by '-3'. z = -21 Simplifying z = -21
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