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Simplifying 13(z + -2) = 7z + 16 Reorder the terms: 13(-2 + z) = 7z + 16 (-2 * 13 + z * 13) = 7z + 16 (-26 + 13z) = 7z + 16 Reorder the terms: -26 + 13z = 16 + 7z Solving -26 + 13z = 16 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -26 + 13z + -7z = 16 + 7z + -7z Combine like terms: 13z + -7z = 6z -26 + 6z = 16 + 7z + -7z Combine like terms: 7z + -7z = 0 -26 + 6z = 16 + 0 -26 + 6z = 16 Add '26' to each side of the equation. -26 + 26 + 6z = 16 + 26 Combine like terms: -26 + 26 = 0 0 + 6z = 16 + 26 6z = 16 + 26 Combine like terms: 16 + 26 = 42 6z = 42 Divide each side by '6'. z = 7 Simplifying z = 7
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