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Simplifying 8 + 16z + -7 = 8z + 29 + -6z Reorder the terms: 8 + -7 + 16z = 8z + 29 + -6z Combine like terms: 8 + -7 = 1 1 + 16z = 8z + 29 + -6z Reorder the terms: 1 + 16z = 29 + 8z + -6z Combine like terms: 8z + -6z = 2z 1 + 16z = 29 + 2z Solving 1 + 16z = 29 + 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. 1 + 16z + -2z = 29 + 2z + -2z Combine like terms: 16z + -2z = 14z 1 + 14z = 29 + 2z + -2z Combine like terms: 2z + -2z = 0 1 + 14z = 29 + 0 1 + 14z = 29 Add '-1' to each side of the equation. 1 + -1 + 14z = 29 + -1 Combine like terms: 1 + -1 = 0 0 + 14z = 29 + -1 14z = 29 + -1 Combine like terms: 29 + -1 = 28 14z = 28 Divide each side by '14'. z = 2 Simplifying z = 2
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