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Simplifying -8(-7 + 2k) = 14 + 5k (-7 * -8 + 2k * -8) = 14 + 5k (56 + -16k) = 14 + 5k Solving 56 + -16k = 14 + 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. 56 + -16k + -5k = 14 + 5k + -5k Combine like terms: -16k + -5k = -21k 56 + -21k = 14 + 5k + -5k Combine like terms: 5k + -5k = 0 56 + -21k = 14 + 0 56 + -21k = 14 Add '-56' to each side of the equation. 56 + -56 + -21k = 14 + -56 Combine like terms: 56 + -56 = 0 0 + -21k = 14 + -56 -21k = 14 + -56 Combine like terms: 14 + -56 = -42 -21k = -42 Divide each side by '-21'. k = 2 Simplifying k = 2
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