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Simplifying 27 + 2k = 8(6k + 7) Reorder the terms: 27 + 2k = 8(7 + 6k) 27 + 2k = (7 * 8 + 6k * 8) 27 + 2k = (56 + 48k) Solving 27 + 2k = 56 + 48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48k' to each side of the equation. 27 + 2k + -48k = 56 + 48k + -48k Combine like terms: 2k + -48k = -46k 27 + -46k = 56 + 48k + -48k Combine like terms: 48k + -48k = 0 27 + -46k = 56 + 0 27 + -46k = 56 Add '-27' to each side of the equation. 27 + -27 + -46k = 56 + -27 Combine like terms: 27 + -27 = 0 0 + -46k = 56 + -27 -46k = 56 + -27 Combine like terms: 56 + -27 = 29 -46k = 29 Divide each side by '-46'. k = -0.6304347826 Simplifying k = -0.6304347826
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