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Simplifying 5k + -1(7 + k) = -1(4k + 7) 5k + (7 * -1 + k * -1) = -1(4k + 7) 5k + (-7 + -1k) = -1(4k + 7) Reorder the terms: -7 + 5k + -1k = -1(4k + 7) Combine like terms: 5k + -1k = 4k -7 + 4k = -1(4k + 7) Reorder the terms: -7 + 4k = -1(7 + 4k) -7 + 4k = (7 * -1 + 4k * -1) -7 + 4k = (-7 + -4k) Add '7' to each side of the equation. -7 + 7 + 4k = -7 + 7 + -4k Combine like terms: -7 + 7 = 0 0 + 4k = -7 + 7 + -4k 4k = -7 + 7 + -4k Combine like terms: -7 + 7 = 0 4k = 0 + -4k 4k = -4k Solving 4k = -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. 4k + 4k = -4k + 4k Combine like terms: 4k + 4k = 8k 8k = -4k + 4k Combine like terms: -4k + 4k = 0 8k = 0 Divide each side by '8'. k = 0 Simplifying k = 0
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