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Simplifying 10z + -14z + 7 + -3 = 3z + 2 + 51 Reorder the terms: 7 + -3 + 10z + -14z = 3z + 2 + 51 Combine like terms: 7 + -3 = 4 4 + 10z + -14z = 3z + 2 + 51 Combine like terms: 10z + -14z = -4z 4 + -4z = 3z + 2 + 51 Reorder the terms: 4 + -4z = 2 + 51 + 3z Combine like terms: 2 + 51 = 53 4 + -4z = 53 + 3z Solving 4 + -4z = 53 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 4 + -4z + -3z = 53 + 3z + -3z Combine like terms: -4z + -3z = -7z 4 + -7z = 53 + 3z + -3z Combine like terms: 3z + -3z = 0 4 + -7z = 53 + 0 4 + -7z = 53 Add '-4' to each side of the equation. 4 + -4 + -7z = 53 + -4 Combine like terms: 4 + -4 = 0 0 + -7z = 53 + -4 -7z = 53 + -4 Combine like terms: 53 + -4 = 49 -7z = 49 Divide each side by '-7'. z = -7 Simplifying z = -7
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