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Simplifying z + 18 = -15 + 12z Reorder the terms: 18 + z = -15 + 12z Solving 18 + z = -15 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 18 + z + -12z = -15 + 12z + -12z Combine like terms: z + -12z = -11z 18 + -11z = -15 + 12z + -12z Combine like terms: 12z + -12z = 0 18 + -11z = -15 + 0 18 + -11z = -15 Add '-18' to each side of the equation. 18 + -18 + -11z = -15 + -18 Combine like terms: 18 + -18 = 0 0 + -11z = -15 + -18 -11z = -15 + -18 Combine like terms: -15 + -18 = -33 -11z = -33 Divide each side by '-11'. z = 3 Simplifying z = 3
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