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Simplifying 5(k + -4) = -4 + (4k + -5) Reorder the terms: 5(-4 + k) = -4 + (4k + -5) (-4 * 5 + k * 5) = -4 + (4k + -5) (-20 + 5k) = -4 + (4k + -5) Reorder the terms: -20 + 5k = -4 + (-5 + 4k) Remove parenthesis around (-5 + 4k) -20 + 5k = -4 + -5 + 4k Combine like terms: -4 + -5 = -9 -20 + 5k = -9 + 4k Solving -20 + 5k = -9 + 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. -20 + 5k + -4k = -9 + 4k + -4k Combine like terms: 5k + -4k = 1k -20 + 1k = -9 + 4k + -4k Combine like terms: 4k + -4k = 0 -20 + 1k = -9 + 0 -20 + 1k = -9 Add '20' to each side of the equation. -20 + 20 + 1k = -9 + 20 Combine like terms: -20 + 20 = 0 0 + 1k = -9 + 20 1k = -9 + 20 Combine like terms: -9 + 20 = 11 1k = 11 Divide each side by '1'. k = 11 Simplifying k = 11
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