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Simplifying 10z + 5 = 14z + 7 Reorder the terms: 5 + 10z = 14z + 7 Reorder the terms: 5 + 10z = 7 + 14z Solving 5 + 10z = 7 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. 5 + 10z + -14z = 7 + 14z + -14z Combine like terms: 10z + -14z = -4z 5 + -4z = 7 + 14z + -14z Combine like terms: 14z + -14z = 0 5 + -4z = 7 + 0 5 + -4z = 7 Add '-5' to each side of the equation. 5 + -5 + -4z = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -4z = 7 + -5 -4z = 7 + -5 Combine like terms: 7 + -5 = 2 -4z = 2 Divide each side by '-4'. z = -0.5 Simplifying z = -0.5
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