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Simplifying -5z + 5z + -14 = 18 + 2z Reorder the terms: -14 + -5z + 5z = 18 + 2z Combine like terms: -5z + 5z = 0 -14 + 0 = 18 + 2z -14 = 18 + 2z Solving -14 = 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. -14 + -2z = 18 + 2z + -2z Combine like terms: 2z + -2z = 0 -14 + -2z = 18 + 0 -14 + -2z = 18 Add '14' to each side of the equation. -14 + 14 + -2z = 18 + 14 Combine like terms: -14 + 14 = 0 0 + -2z = 18 + 14 -2z = 18 + 14 Combine like terms: 18 + 14 = 32 -2z = 32 Divide each side by '-2'. z = -16 Simplifying z = -16
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