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Simplifying 4k + -1(3 + k) = (2k + 3) 4k + (3 * -1 + k * -1) = (2k + 3) 4k + (-3 + -1k) = (2k + 3) Reorder the terms: -3 + 4k + -1k = (2k + 3) Combine like terms: 4k + -1k = 3k -3 + 3k = (2k + 3) Reorder the terms: -3 + 3k = (3 + 2k) Remove parenthesis around (3 + 2k) -3 + 3k = 3 + 2k Solving -3 + 3k = 3 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -3 + 3k + -2k = 3 + 2k + -2k Combine like terms: 3k + -2k = 1k -3 + 1k = 3 + 2k + -2k Combine like terms: 2k + -2k = 0 -3 + 1k = 3 + 0 -3 + 1k = 3 Add '3' to each side of the equation. -3 + 3 + 1k = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 1k = 3 + 3 1k = 3 + 3 Combine like terms: 3 + 3 = 6 1k = 6 Divide each side by '1'. k = 6 Simplifying k = 6
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