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Simplifying 4k + -1(7 + k) = -1(8k + 7) 4k + (7 * -1 + k * -1) = -1(8k + 7) 4k + (-7 + -1k) = -1(8k + 7) Reorder the terms: -7 + 4k + -1k = -1(8k + 7) Combine like terms: 4k + -1k = 3k -7 + 3k = -1(8k + 7) Reorder the terms: -7 + 3k = -1(7 + 8k) -7 + 3k = (7 * -1 + 8k * -1) -7 + 3k = (-7 + -8k) Add '7' to each side of the equation. -7 + 7 + 3k = -7 + 7 + -8k Combine like terms: -7 + 7 = 0 0 + 3k = -7 + 7 + -8k 3k = -7 + 7 + -8k Combine like terms: -7 + 7 = 0 3k = 0 + -8k 3k = -8k Solving 3k = -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. 3k + 8k = -8k + 8k Combine like terms: 3k + 8k = 11k 11k = -8k + 8k Combine like terms: -8k + 8k = 0 11k = 0 Divide each side by '11'. k = 0 Simplifying k = 0
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