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