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Simplifying 27 = -3(21 + -1z) + 3(z + -2) 27 = (21 * -3 + -1z * -3) + 3(z + -2) 27 = (-63 + 3z) + 3(z + -2) Reorder the terms: 27 = -63 + 3z + 3(-2 + z) 27 = -63 + 3z + (-2 * 3 + z * 3) 27 = -63 + 3z + (-6 + 3z) Reorder the terms: 27 = -63 + -6 + 3z + 3z Combine like terms: -63 + -6 = -69 27 = -69 + 3z + 3z Combine like terms: 3z + 3z = 6z 27 = -69 + 6z Solving 27 = -69 + 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 = -69 + 6z + -6z Combine like terms: 6z + -6z = 0 27 + -6z = -69 + 0 27 + -6z = -69 Add '-27' to each side of the equation. 27 + -27 + -6z = -69 + -27 Combine like terms: 27 + -27 = 0 0 + -6z = -69 + -27 -6z = -69 + -27 Combine like terms: -69 + -27 = -96 -6z = -96 Divide each side by '-6'. z = 16 Simplifying z = 16
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