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Simplifying 80 = 4z + -2 + 3z + 4z + -2 + 3z Reorder the terms: 80 = -2 + -2 + 4z + 3z + 4z + 3z Combine like terms: -2 + -2 = -4 80 = -4 + 4z + 3z + 4z + 3z Combine like terms: 4z + 3z = 7z 80 = -4 + 7z + 4z + 3z Combine like terms: 7z + 4z = 11z 80 = -4 + 11z + 3z Combine like terms: 11z + 3z = 14z 80 = -4 + 14z Solving 80 = -4 + 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. 80 + -14z = -4 + 14z + -14z Combine like terms: 14z + -14z = 0 80 + -14z = -4 + 0 80 + -14z = -4 Add '-80' to each side of the equation. 80 + -80 + -14z = -4 + -80 Combine like terms: 80 + -80 = 0 0 + -14z = -4 + -80 -14z = -4 + -80 Combine like terms: -4 + -80 = -84 -14z = -84 Divide each side by '-14'. z = 6 Simplifying z = 6
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