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Simplifying 4k + -3(k + -8) = 2(3 + -5k) + 7 Reorder the terms: 4k + -3(-8 + k) = 2(3 + -5k) + 7 4k + (-8 * -3 + k * -3) = 2(3 + -5k) + 7 4k + (24 + -3k) = 2(3 + -5k) + 7 Reorder the terms: 24 + 4k + -3k = 2(3 + -5k) + 7 Combine like terms: 4k + -3k = 1k 24 + 1k = 2(3 + -5k) + 7 24 + 1k = (3 * 2 + -5k * 2) + 7 24 + 1k = (6 + -10k) + 7 Reorder the terms: 24 + 1k = 6 + 7 + -10k Combine like terms: 6 + 7 = 13 24 + 1k = 13 + -10k Solving 24 + 1k = 13 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. 24 + 1k + 10k = 13 + -10k + 10k Combine like terms: 1k + 10k = 11k 24 + 11k = 13 + -10k + 10k Combine like terms: -10k + 10k = 0 24 + 11k = 13 + 0 24 + 11k = 13 Add '-24' to each side of the equation. 24 + -24 + 11k = 13 + -24 Combine like terms: 24 + -24 = 0 0 + 11k = 13 + -24 11k = 13 + -24 Combine like terms: 13 + -24 = -11 11k = -11 Divide each side by '11'. k = -1 Simplifying k = -1
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