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Simplifying -6(3k + -3) + 3k = 2(3k + -1) + -5k Reorder the terms: -6(-3 + 3k) + 3k = 2(3k + -1) + -5k (-3 * -6 + 3k * -6) + 3k = 2(3k + -1) + -5k (18 + -18k) + 3k = 2(3k + -1) + -5k Combine like terms: -18k + 3k = -15k 18 + -15k = 2(3k + -1) + -5k Reorder the terms: 18 + -15k = 2(-1 + 3k) + -5k 18 + -15k = (-1 * 2 + 3k * 2) + -5k 18 + -15k = (-2 + 6k) + -5k Combine like terms: 6k + -5k = 1k 18 + -15k = -2 + 1k Solving 18 + -15k = -2 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 18 + -15k + -1k = -2 + 1k + -1k Combine like terms: -15k + -1k = -16k 18 + -16k = -2 + 1k + -1k Combine like terms: 1k + -1k = 0 18 + -16k = -2 + 0 18 + -16k = -2 Add '-18' to each side of the equation. 18 + -18 + -16k = -2 + -18 Combine like terms: 18 + -18 = 0 0 + -16k = -2 + -18 -16k = -2 + -18 Combine like terms: -2 + -18 = -20 -16k = -20 Divide each side by '-16'. k = 1.25 Simplifying k = 1.25
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