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Simplifying 2(k + -4) = 5k + 2 Reorder the terms: 2(-4 + k) = 5k + 2 (-4 * 2 + k * 2) = 5k + 2 (-8 + 2k) = 5k + 2 Reorder the terms: -8 + 2k = 2 + 5k Solving -8 + 2k = 2 + 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. -8 + 2k + -5k = 2 + 5k + -5k Combine like terms: 2k + -5k = -3k -8 + -3k = 2 + 5k + -5k Combine like terms: 5k + -5k = 0 -8 + -3k = 2 + 0 -8 + -3k = 2 Add '8' to each side of the equation. -8 + 8 + -3k = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -3k = 2 + 8 -3k = 2 + 8 Combine like terms: 2 + 8 = 10 -3k = 10 Divide each side by '-3'. k = -3.333333333 Simplifying k = -3.333333333
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