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Simplifying 5k + -4 = 2(2k + -5) Reorder the terms: -4 + 5k = 2(2k + -5) Reorder the terms: -4 + 5k = 2(-5 + 2k) -4 + 5k = (-5 * 2 + 2k * 2) -4 + 5k = (-10 + 4k) Solving -4 + 5k = -10 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -4 + 5k + -4k = -10 + 4k + -4k Combine like terms: 5k + -4k = 1k -4 + 1k = -10 + 4k + -4k Combine like terms: 4k + -4k = 0 -4 + 1k = -10 + 0 -4 + 1k = -10 Add '4' to each side of the equation. -4 + 4 + 1k = -10 + 4 Combine like terms: -4 + 4 = 0 0 + 1k = -10 + 4 1k = -10 + 4 Combine like terms: -10 + 4 = -6 1k = -6 Divide each side by '1'. k = -6 Simplifying k = -6
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