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Simplifying z + 14 = 5z + -14 Reorder the terms: 14 + z = 5z + -14 Reorder the terms: 14 + z = -14 + 5z Solving 14 + z = -14 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 14 + z + -5z = -14 + 5z + -5z Combine like terms: z + -5z = -4z 14 + -4z = -14 + 5z + -5z Combine like terms: 5z + -5z = 0 14 + -4z = -14 + 0 14 + -4z = -14 Add '-14' to each side of the equation. 14 + -14 + -4z = -14 + -14 Combine like terms: 14 + -14 = 0 0 + -4z = -14 + -14 -4z = -14 + -14 Combine like terms: -14 + -14 = -28 -4z = -28 Divide each side by '-4'. z = 7 Simplifying z = 7
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