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Simplifying 3(k + -1) = 17 + -1(8 + k) Reorder the terms: 3(-1 + k) = 17 + -1(8 + k) (-1 * 3 + k * 3) = 17 + -1(8 + k) (-3 + 3k) = 17 + -1(8 + k) -3 + 3k = 17 + (8 * -1 + k * -1) -3 + 3k = 17 + (-8 + -1k) Combine like terms: 17 + -8 = 9 -3 + 3k = 9 + -1k Solving -3 + 3k = 9 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -3 + 3k + k = 9 + -1k + k Combine like terms: 3k + k = 4k -3 + 4k = 9 + -1k + k Combine like terms: -1k + k = 0 -3 + 4k = 9 + 0 -3 + 4k = 9 Add '3' to each side of the equation. -3 + 3 + 4k = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 4k = 9 + 3 4k = 9 + 3 Combine like terms: 9 + 3 = 12 4k = 12 Divide each side by '4'. k = 3 Simplifying k = 3
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