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Simplifying 3z + 14 = 10z + -14 Reorder the terms: 14 + 3z = 10z + -14 Reorder the terms: 14 + 3z = -14 + 10z Solving 14 + 3z = -14 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 14 + 3z + -10z = -14 + 10z + -10z Combine like terms: 3z + -10z = -7z 14 + -7z = -14 + 10z + -10z Combine like terms: 10z + -10z = 0 14 + -7z = -14 + 0 14 + -7z = -14 Add '-14' to each side of the equation. 14 + -14 + -7z = -14 + -14 Combine like terms: 14 + -14 = 0 0 + -7z = -14 + -14 -7z = -14 + -14 Combine like terms: -14 + -14 = -28 -7z = -28 Divide each side by '-7'. z = 4 Simplifying z = 4
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