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Simplifying -18 = 3(-1z + 6) + z Reorder the terms: -18 = 3(6 + -1z) + z -18 = (6 * 3 + -1z * 3) + z -18 = (18 + -3z) + z Combine like terms: -3z + z = -2z -18 = 18 + -2z Solving -18 = 18 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -18 + 2z = 18 + -2z + 2z Combine like terms: -2z + 2z = 0 -18 + 2z = 18 + 0 -18 + 2z = 18 Add '18' to each side of the equation. -18 + 18 + 2z = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 2z = 18 + 18 2z = 18 + 18 Combine like terms: 18 + 18 = 36 2z = 36 Divide each side by '2'. z = 18 Simplifying z = 18
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