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Simplifying -3(-3k + 8) + -3k = 4(1 + k) Reorder the terms: -3(8 + -3k) + -3k = 4(1 + k) (8 * -3 + -3k * -3) + -3k = 4(1 + k) (-24 + 9k) + -3k = 4(1 + k) Combine like terms: 9k + -3k = 6k -24 + 6k = 4(1 + k) -24 + 6k = (1 * 4 + k * 4) -24 + 6k = (4 + 4k) Solving -24 + 6k = 4 + 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. -24 + 6k + -4k = 4 + 4k + -4k Combine like terms: 6k + -4k = 2k -24 + 2k = 4 + 4k + -4k Combine like terms: 4k + -4k = 0 -24 + 2k = 4 + 0 -24 + 2k = 4 Add '24' to each side of the equation. -24 + 24 + 2k = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 2k = 4 + 24 2k = 4 + 24 Combine like terms: 4 + 24 = 28 2k = 28 Divide each side by '2'. k = 14 Simplifying k = 14
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