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Simplifying -2(8k + -1) = 6(5k + 8) Reorder the terms: -2(-1 + 8k) = 6(5k + 8) (-1 * -2 + 8k * -2) = 6(5k + 8) (2 + -16k) = 6(5k + 8) Reorder the terms: 2 + -16k = 6(8 + 5k) 2 + -16k = (8 * 6 + 5k * 6) 2 + -16k = (48 + 30k) Solving 2 + -16k = 48 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. 2 + -16k + -30k = 48 + 30k + -30k Combine like terms: -16k + -30k = -46k 2 + -46k = 48 + 30k + -30k Combine like terms: 30k + -30k = 0 2 + -46k = 48 + 0 2 + -46k = 48 Add '-2' to each side of the equation. 2 + -2 + -46k = 48 + -2 Combine like terms: 2 + -2 = 0 0 + -46k = 48 + -2 -46k = 48 + -2 Combine like terms: 48 + -2 = 46 -46k = 46 Divide each side by '-46'. k = -1 Simplifying k = -1
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