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Simplifying 13 + -1(4 + -1k) = 5k + 10 + -7 13 + (4 * -1 + -1k * -1) = 5k + 10 + -7 13 + (-4 + 1k) = 5k + 10 + -7 Combine like terms: 13 + -4 = 9 9 + 1k = 5k + 10 + -7 Reorder the terms: 9 + 1k = 10 + -7 + 5k Combine like terms: 10 + -7 = 3 9 + 1k = 3 + 5k Solving 9 + 1k = 3 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 9 + 1k + -5k = 3 + 5k + -5k Combine like terms: 1k + -5k = -4k 9 + -4k = 3 + 5k + -5k Combine like terms: 5k + -5k = 0 9 + -4k = 3 + 0 9 + -4k = 3 Add '-9' to each side of the equation. 9 + -9 + -4k = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -4k = 3 + -9 -4k = 3 + -9 Combine like terms: 3 + -9 = -6 -4k = -6 Divide each side by '-4'. k = 1.5 Simplifying k = 1.5
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