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Simplifying -3(k + 4) + -4 = -5k + -12 Reorder the terms: -3(4 + k) + -4 = -5k + -12 (4 * -3 + k * -3) + -4 = -5k + -12 (-12 + -3k) + -4 = -5k + -12 Reorder the terms: -12 + -4 + -3k = -5k + -12 Combine like terms: -12 + -4 = -16 -16 + -3k = -5k + -12 Reorder the terms: -16 + -3k = -12 + -5k Solving -16 + -3k = -12 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -16 + -3k + 5k = -12 + -5k + 5k Combine like terms: -3k + 5k = 2k -16 + 2k = -12 + -5k + 5k Combine like terms: -5k + 5k = 0 -16 + 2k = -12 + 0 -16 + 2k = -12 Add '16' to each side of the equation. -16 + 16 + 2k = -12 + 16 Combine like terms: -16 + 16 = 0 0 + 2k = -12 + 16 2k = -12 + 16 Combine like terms: -12 + 16 = 4 2k = 4 Divide each side by '2'. k = 2 Simplifying k = 2
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