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