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