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Simplifying -1z + 12 + -18 = -2z + 12 Reorder the terms: 12 + -18 + -1z = -2z + 12 Combine like terms: 12 + -18 = -6 -6 + -1z = -2z + 12 Reorder the terms: -6 + -1z = 12 + -2z Solving -6 + -1z = 12 + -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. -6 + -1z + 2z = 12 + -2z + 2z Combine like terms: -1z + 2z = 1z -6 + 1z = 12 + -2z + 2z Combine like terms: -2z + 2z = 0 -6 + 1z = 12 + 0 -6 + 1z = 12 Add '6' to each side of the equation. -6 + 6 + 1z = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 1z = 12 + 6 1z = 12 + 6 Combine like terms: 12 + 6 = 18 1z = 18 Divide each side by '1'. z = 18 Simplifying z = 18
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