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Simplifying 5k + -1(k + 3) = 1(k + 3) Reorder the terms: 5k + -1(3 + k) = 1(k + 3) 5k + (3 * -1 + k * -1) = 1(k + 3) 5k + (-3 + -1k) = 1(k + 3) Reorder the terms: -3 + 5k + -1k = 1(k + 3) Combine like terms: 5k + -1k = 4k -3 + 4k = 1(k + 3) Reorder the terms: -3 + 4k = 1(3 + k) -3 + 4k = (3 * 1 + k * 1) -3 + 4k = (3 + 1k) Solving -3 + 4k = 3 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -3 + 4k + -1k = 3 + 1k + -1k Combine like terms: 4k + -1k = 3k -3 + 3k = 3 + 1k + -1k Combine like terms: 1k + -1k = 0 -3 + 3k = 3 + 0 -3 + 3k = 3 Add '3' to each side of the equation. -3 + 3 + 3k = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 3k = 3 + 3 3k = 3 + 3 Combine like terms: 3 + 3 = 6 3k = 6 Divide each side by '3'. k = 2 Simplifying k = 2
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