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Simplifying 3(k + 4) = 8(7 + -1k) Reorder the terms: 3(4 + k) = 8(7 + -1k) (4 * 3 + k * 3) = 8(7 + -1k) (12 + 3k) = 8(7 + -1k) 12 + 3k = (7 * 8 + -1k * 8) 12 + 3k = (56 + -8k) Solving 12 + 3k = 56 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 12 + 3k + 8k = 56 + -8k + 8k Combine like terms: 3k + 8k = 11k 12 + 11k = 56 + -8k + 8k Combine like terms: -8k + 8k = 0 12 + 11k = 56 + 0 12 + 11k = 56 Add '-12' to each side of the equation. 12 + -12 + 11k = 56 + -12 Combine like terms: 12 + -12 = 0 0 + 11k = 56 + -12 11k = 56 + -12 Combine like terms: 56 + -12 = 44 11k = 44 Divide each side by '11'. k = 4 Simplifying k = 4
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