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Simplifying -3(k + -4) + 12 = 2k + 12 Reorder the terms: -3(-4 + k) + 12 = 2k + 12 (-4 * -3 + k * -3) + 12 = 2k + 12 (12 + -3k) + 12 = 2k + 12 Reorder the terms: 12 + 12 + -3k = 2k + 12 Combine like terms: 12 + 12 = 24 24 + -3k = 2k + 12 Reorder the terms: 24 + -3k = 12 + 2k Solving 24 + -3k = 12 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 24 + -3k + -2k = 12 + 2k + -2k Combine like terms: -3k + -2k = -5k 24 + -5k = 12 + 2k + -2k Combine like terms: 2k + -2k = 0 24 + -5k = 12 + 0 24 + -5k = 12 Add '-24' to each side of the equation. 24 + -24 + -5k = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -5k = 12 + -24 -5k = 12 + -24 Combine like terms: 12 + -24 = -12 -5k = -12 Divide each side by '-5'. k = 2.4 Simplifying k = 2.4
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