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Simplifying -4(k + -7) = 2k + 3k Reorder the terms: -4(-7 + k) = 2k + 3k (-7 * -4 + k * -4) = 2k + 3k (28 + -4k) = 2k + 3k Combine like terms: 2k + 3k = 5k 28 + -4k = 5k Solving 28 + -4k = 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. 28 + -4k + -5k = 5k + -5k Combine like terms: -4k + -5k = -9k 28 + -9k = 5k + -5k Combine like terms: 5k + -5k = 0 28 + -9k = 0 Add '-28' to each side of the equation. 28 + -28 + -9k = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -9k = 0 + -28 -9k = 0 + -28 Combine like terms: 0 + -28 = -28 -9k = -28 Divide each side by '-9'. k = 3.111111111 Simplifying k = 3.111111111
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