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Simplifying -4(14k + -42) = 5k + 18 Reorder the terms: -4(-42 + 14k) = 5k + 18 (-42 * -4 + 14k * -4) = 5k + 18 (168 + -56k) = 5k + 18 Reorder the terms: 168 + -56k = 18 + 5k Solving 168 + -56k = 18 + 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. 168 + -56k + -5k = 18 + 5k + -5k Combine like terms: -56k + -5k = -61k 168 + -61k = 18 + 5k + -5k Combine like terms: 5k + -5k = 0 168 + -61k = 18 + 0 168 + -61k = 18 Add '-168' to each side of the equation. 168 + -168 + -61k = 18 + -168 Combine like terms: 168 + -168 = 0 0 + -61k = 18 + -168 -61k = 18 + -168 Combine like terms: 18 + -168 = -150 -61k = -150 Divide each side by '-61'. k = 2.459016393 Simplifying k = 2.459016393
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