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Simplifying 12(-9 + -6k) + -13(1 + -2k) = 17 (-9 * 12 + -6k * 12) + -13(1 + -2k) = 17 (-108 + -72k) + -13(1 + -2k) = 17 -108 + -72k + (1 * -13 + -2k * -13) = 17 -108 + -72k + (-13 + 26k) = 17 Reorder the terms: -108 + -13 + -72k + 26k = 17 Combine like terms: -108 + -13 = -121 -121 + -72k + 26k = 17 Combine like terms: -72k + 26k = -46k -121 + -46k = 17 Solving -121 + -46k = 17 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '121' to each side of the equation. -121 + 121 + -46k = 17 + 121 Combine like terms: -121 + 121 = 0 0 + -46k = 17 + 121 -46k = 17 + 121 Combine like terms: 17 + 121 = 138 -46k = 138 Divide each side by '-46'. k = -3 Simplifying k = -3
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