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Simplifying 2(5 + 8) = 10 + k Combine like terms: 5 + 8 = 13 2(13) = 10 + k Multiply 2 * 13 26 = 10 + k Solving 26 = 10 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 26 + -1k = 10 + k + -1k Combine like terms: k + -1k = 0 26 + -1k = 10 + 0 26 + -1k = 10 Add '-26' to each side of the equation. 26 + -26 + -1k = 10 + -26 Combine like terms: 26 + -26 = 0 0 + -1k = 10 + -26 -1k = 10 + -26 Combine like terms: 10 + -26 = -16 -1k = -16 Divide each side by '-1'. k = 16 Simplifying k = 16
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