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Simplifying 7 + 17z + -6 = 5z + 99 + -2z Reorder the terms: 7 + -6 + 17z = 5z + 99 + -2z Combine like terms: 7 + -6 = 1 1 + 17z = 5z + 99 + -2z Reorder the terms: 1 + 17z = 99 + 5z + -2z Combine like terms: 5z + -2z = 3z 1 + 17z = 99 + 3z Solving 1 + 17z = 99 + 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. 1 + 17z + -3z = 99 + 3z + -3z Combine like terms: 17z + -3z = 14z 1 + 14z = 99 + 3z + -3z Combine like terms: 3z + -3z = 0 1 + 14z = 99 + 0 1 + 14z = 99 Add '-1' to each side of the equation. 1 + -1 + 14z = 99 + -1 Combine like terms: 1 + -1 = 0 0 + 14z = 99 + -1 14z = 99 + -1 Combine like terms: 99 + -1 = 98 14z = 98 Divide each side by '14'. z = 7 Simplifying z = 7
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