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Simplifying -18 = 3(-1z + 6) + 27 Reorder the terms: -18 = 3(6 + -1z) + 27 -18 = (6 * 3 + -1z * 3) + 27 -18 = (18 + -3z) + 27 Reorder the terms: -18 = 18 + 27 + -3z Combine like terms: 18 + 27 = 45 -18 = 45 + -3z Solving -18 = 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. -18 + 3z = 45 + -3z + 3z Combine like terms: -3z + 3z = 0 -18 + 3z = 45 + 0 -18 + 3z = 45 Add '18' to each side of the equation. -18 + 18 + 3z = 45 + 18 Combine like terms: -18 + 18 = 0 0 + 3z = 45 + 18 3z = 45 + 18 Combine like terms: 45 + 18 = 63 3z = 63 Divide each side by '3'. z = 21 Simplifying z = 21
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