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