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Simplifying 18 = -1z + -6 + 5z + -12 Reorder the terms: 18 = -6 + -12 + -1z + 5z Combine like terms: -6 + -12 = -18 18 = -18 + -1z + 5z Combine like terms: -1z + 5z = 4z 18 = -18 + 4z Solving 18 = -18 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 18 + -4z = -18 + 4z + -4z Combine like terms: 4z + -4z = 0 18 + -4z = -18 + 0 18 + -4z = -18 Add '-18' to each side of the equation. 18 + -18 + -4z = -18 + -18 Combine like terms: 18 + -18 = 0 0 + -4z = -18 + -18 -4z = -18 + -18 Combine like terms: -18 + -18 = -36 -4z = -36 Divide each side by '-4'. z = 9 Simplifying z = 9
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