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Simplifying -8(4k + -7) + 4k = -2 + k Reorder the terms: -8(-7 + 4k) + 4k = -2 + k (-7 * -8 + 4k * -8) + 4k = -2 + k (56 + -32k) + 4k = -2 + k Combine like terms: -32k + 4k = -28k 56 + -28k = -2 + k Solving 56 + -28k = -2 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 56 + -28k + -1k = -2 + k + -1k Combine like terms: -28k + -1k = -29k 56 + -29k = -2 + k + -1k Combine like terms: k + -1k = 0 56 + -29k = -2 + 0 56 + -29k = -2 Add '-56' to each side of the equation. 56 + -56 + -29k = -2 + -56 Combine like terms: 56 + -56 = 0 0 + -29k = -2 + -56 -29k = -2 + -56 Combine like terms: -2 + -56 = -58 -29k = -58 Divide each side by '-29'. k = 2 Simplifying k = 2
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