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Simplifying 4k + -1(4 + k) = (5k + 4) 4k + (4 * -1 + k * -1) = (5k + 4) 4k + (-4 + -1k) = (5k + 4) Reorder the terms: -4 + 4k + -1k = (5k + 4) Combine like terms: 4k + -1k = 3k -4 + 3k = (5k + 4) Reorder the terms: -4 + 3k = (4 + 5k) Remove parenthesis around (4 + 5k) -4 + 3k = 4 + 5k Solving -4 + 3k = 4 + 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. -4 + 3k + -5k = 4 + 5k + -5k Combine like terms: 3k + -5k = -2k -4 + -2k = 4 + 5k + -5k Combine like terms: 5k + -5k = 0 -4 + -2k = 4 + 0 -4 + -2k = 4 Add '4' to each side of the equation. -4 + 4 + -2k = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -2k = 4 + 4 -2k = 4 + 4 Combine like terms: 4 + 4 = 8 -2k = 8 Divide each side by '-2'. k = -4 Simplifying k = -4
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