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Simplifying 2(2k + -1) = 5(k + -2) Reorder the terms: 2(-1 + 2k) = 5(k + -2) (-1 * 2 + 2k * 2) = 5(k + -2) (-2 + 4k) = 5(k + -2) Reorder the terms: -2 + 4k = 5(-2 + k) -2 + 4k = (-2 * 5 + k * 5) -2 + 4k = (-10 + 5k) Solving -2 + 4k = -10 + 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. -2 + 4k + -5k = -10 + 5k + -5k Combine like terms: 4k + -5k = -1k -2 + -1k = -10 + 5k + -5k Combine like terms: 5k + -5k = 0 -2 + -1k = -10 + 0 -2 + -1k = -10 Add '2' to each side of the equation. -2 + 2 + -1k = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -1k = -10 + 2 -1k = -10 + 2 Combine like terms: -10 + 2 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8
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