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Simplifying 7 + 16z + -4 = 5z + 17 + -3z Reorder the terms: 7 + -4 + 16z = 5z + 17 + -3z Combine like terms: 7 + -4 = 3 3 + 16z = 5z + 17 + -3z Reorder the terms: 3 + 16z = 17 + 5z + -3z Combine like terms: 5z + -3z = 2z 3 + 16z = 17 + 2z Solving 3 + 16z = 17 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 3 + 16z + -2z = 17 + 2z + -2z Combine like terms: 16z + -2z = 14z 3 + 14z = 17 + 2z + -2z Combine like terms: 2z + -2z = 0 3 + 14z = 17 + 0 3 + 14z = 17 Add '-3' to each side of the equation. 3 + -3 + 14z = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 14z = 17 + -3 14z = 17 + -3 Combine like terms: 17 + -3 = 14 14z = 14 Divide each side by '14'. z = 1 Simplifying z = 1
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