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Simplifying 3k + -6(k + -2) = -4(k + -9) Reorder the terms: 3k + -6(-2 + k) = -4(k + -9) 3k + (-2 * -6 + k * -6) = -4(k + -9) 3k + (12 + -6k) = -4(k + -9) Reorder the terms: 12 + 3k + -6k = -4(k + -9) Combine like terms: 3k + -6k = -3k 12 + -3k = -4(k + -9) Reorder the terms: 12 + -3k = -4(-9 + k) 12 + -3k = (-9 * -4 + k * -4) 12 + -3k = (36 + -4k) Solving 12 + -3k = 36 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 12 + -3k + 4k = 36 + -4k + 4k Combine like terms: -3k + 4k = 1k 12 + 1k = 36 + -4k + 4k Combine like terms: -4k + 4k = 0 12 + 1k = 36 + 0 12 + 1k = 36 Add '-12' to each side of the equation. 12 + -12 + 1k = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 1k = 36 + -12 1k = 36 + -12 Combine like terms: 36 + -12 = 24 1k = 24 Divide each side by '1'. k = 24 Simplifying k = 24
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