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Simplifying -3k + -6(3k + -4) = 40 + -5k Reorder the terms: -3k + -6(-4 + 3k) = 40 + -5k -3k + (-4 * -6 + 3k * -6) = 40 + -5k -3k + (24 + -18k) = 40 + -5k Reorder the terms: 24 + -3k + -18k = 40 + -5k Combine like terms: -3k + -18k = -21k 24 + -21k = 40 + -5k Solving 24 + -21k = 40 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 24 + -21k + 5k = 40 + -5k + 5k Combine like terms: -21k + 5k = -16k 24 + -16k = 40 + -5k + 5k Combine like terms: -5k + 5k = 0 24 + -16k = 40 + 0 24 + -16k = 40 Add '-24' to each side of the equation. 24 + -24 + -16k = 40 + -24 Combine like terms: 24 + -24 = 0 0 + -16k = 40 + -24 -16k = 40 + -24 Combine like terms: 40 + -24 = 16 -16k = 16 Divide each side by '-16'. k = -1 Simplifying k = -1
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