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Simplifying 4z + 14 = 7z + 10 Reorder the terms: 14 + 4z = 7z + 10 Reorder the terms: 14 + 4z = 10 + 7z Solving 14 + 4z = 10 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 14 + 4z + -7z = 10 + 7z + -7z Combine like terms: 4z + -7z = -3z 14 + -3z = 10 + 7z + -7z Combine like terms: 7z + -7z = 0 14 + -3z = 10 + 0 14 + -3z = 10 Add '-14' to each side of the equation. 14 + -14 + -3z = 10 + -14 Combine like terms: 14 + -14 = 0 0 + -3z = 10 + -14 -3z = 10 + -14 Combine like terms: 10 + -14 = -4 -3z = -4 Divide each side by '-3'. z = 1.333333333 Simplifying z = 1.333333333
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