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Simplifying -1(k + 3) = 4(k + 3) Reorder the terms: -1(3 + k) = 4(k + 3) (3 * -1 + k * -1) = 4(k + 3) (-3 + -1k) = 4(k + 3) Reorder the terms: -3 + -1k = 4(3 + k) -3 + -1k = (3 * 4 + k * 4) -3 + -1k = (12 + 4k) Solving -3 + -1k = 12 + 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 + -1k + -4k = 12 + 4k + -4k Combine like terms: -1k + -4k = -5k -3 + -5k = 12 + 4k + -4k Combine like terms: 4k + -4k = 0 -3 + -5k = 12 + 0 -3 + -5k = 12 Add '3' to each side of the equation. -3 + 3 + -5k = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -5k = 12 + 3 -5k = 12 + 3 Combine like terms: 12 + 3 = 15 -5k = 15 Divide each side by '-5'. k = -3 Simplifying k = -3
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