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Simplifying 36 + -4k = 7(6k + -8) Reorder the terms: 36 + -4k = 7(-8 + 6k) 36 + -4k = (-8 * 7 + 6k * 7) 36 + -4k = (-56 + 42k) Solving 36 + -4k = -56 + 42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42k' to each side of the equation. 36 + -4k + -42k = -56 + 42k + -42k Combine like terms: -4k + -42k = -46k 36 + -46k = -56 + 42k + -42k Combine like terms: 42k + -42k = 0 36 + -46k = -56 + 0 36 + -46k = -56 Add '-36' to each side of the equation. 36 + -36 + -46k = -56 + -36 Combine like terms: 36 + -36 = 0 0 + -46k = -56 + -36 -46k = -56 + -36 Combine like terms: -56 + -36 = -92 -46k = -92 Divide each side by '-46'. k = 2 Simplifying k = 2
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