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Simplifying 3(k + 1) = 4k + -4 Reorder the terms: 3(1 + k) = 4k + -4 (1 * 3 + k * 3) = 4k + -4 (3 + 3k) = 4k + -4 Reorder the terms: 3 + 3k = -4 + 4k Solving 3 + 3k = -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. 3 + 3k + -4k = -4 + 4k + -4k Combine like terms: 3k + -4k = -1k 3 + -1k = -4 + 4k + -4k Combine like terms: 4k + -4k = 0 3 + -1k = -4 + 0 3 + -1k = -4 Add '-3' to each side of the equation. 3 + -3 + -1k = -4 + -3 Combine like terms: 3 + -3 = 0 0 + -1k = -4 + -3 -1k = -4 + -3 Combine like terms: -4 + -3 = -7 -1k = -7 Divide each side by '-1'. k = 7 Simplifying k = 7
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