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