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Simplifying 3(4 + 2k) = -2(7 + k) (4 * 3 + 2k * 3) = -2(7 + k) (12 + 6k) = -2(7 + k) 12 + 6k = (7 * -2 + k * -2) 12 + 6k = (-14 + -2k) Solving 12 + 6k = -14 + -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. 12 + 6k + 2k = -14 + -2k + 2k Combine like terms: 6k + 2k = 8k 12 + 8k = -14 + -2k + 2k Combine like terms: -2k + 2k = 0 12 + 8k = -14 + 0 12 + 8k = -14 Add '-12' to each side of the equation. 12 + -12 + 8k = -14 + -12 Combine like terms: 12 + -12 = 0 0 + 8k = -14 + -12 8k = -14 + -12 Combine like terms: -14 + -12 = -26 8k = -26 Divide each side by '8'. k = -3.25 Simplifying k = -3.25
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