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Simplifying 2k + -8 = 6k + 7(6 + 6k) Reorder the terms: -8 + 2k = 6k + 7(6 + 6k) -8 + 2k = 6k + (6 * 7 + 6k * 7) -8 + 2k = 6k + (42 + 42k) Reorder the terms: -8 + 2k = 42 + 6k + 42k Combine like terms: 6k + 42k = 48k -8 + 2k = 42 + 48k Solving -8 + 2k = 42 + 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. -8 + 2k + -48k = 42 + 48k + -48k Combine like terms: 2k + -48k = -46k -8 + -46k = 42 + 48k + -48k Combine like terms: 48k + -48k = 0 -8 + -46k = 42 + 0 -8 + -46k = 42 Add '8' to each side of the equation. -8 + 8 + -46k = 42 + 8 Combine like terms: -8 + 8 = 0 0 + -46k = 42 + 8 -46k = 42 + 8 Combine like terms: 42 + 8 = 50 -46k = 50 Divide each side by '-46'. k = -1.086956522 Simplifying k = -1.086956522
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