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Simplifying 5(k + -2) + -2(k + 4) = 6 Reorder the terms: 5(-2 + k) + -2(k + 4) = 6 (-2 * 5 + k * 5) + -2(k + 4) = 6 (-10 + 5k) + -2(k + 4) = 6 Reorder the terms: -10 + 5k + -2(4 + k) = 6 -10 + 5k + (4 * -2 + k * -2) = 6 -10 + 5k + (-8 + -2k) = 6 Reorder the terms: -10 + -8 + 5k + -2k = 6 Combine like terms: -10 + -8 = -18 -18 + 5k + -2k = 6 Combine like terms: 5k + -2k = 3k -18 + 3k = 6 Solving -18 + 3k = 6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 3k = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 3k = 6 + 18 3k = 6 + 18 Combine like terms: 6 + 18 = 24 3k = 24 Divide each side by '3'. k = 8 Simplifying k = 8
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