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Simplifying 3(4 + 6k) = 2(-7 + -4k) (4 * 3 + 6k * 3) = 2(-7 + -4k) (12 + 18k) = 2(-7 + -4k) 12 + 18k = (-7 * 2 + -4k * 2) 12 + 18k = (-14 + -8k) Solving 12 + 18k = -14 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 12 + 18k + 8k = -14 + -8k + 8k Combine like terms: 18k + 8k = 26k 12 + 26k = -14 + -8k + 8k Combine like terms: -8k + 8k = 0 12 + 26k = -14 + 0 12 + 26k = -14 Add '-12' to each side of the equation. 12 + -12 + 26k = -14 + -12 Combine like terms: 12 + -12 = 0 0 + 26k = -14 + -12 26k = -14 + -12 Combine like terms: -14 + -12 = -26 26k = -26 Divide each side by '26'. k = -1 Simplifying k = -1
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