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Simplifying 6k + -1(k + 4) = 1(k + 1) Reorder the terms: 6k + -1(4 + k) = 1(k + 1) 6k + (4 * -1 + k * -1) = 1(k + 1) 6k + (-4 + -1k) = 1(k + 1) Reorder the terms: -4 + 6k + -1k = 1(k + 1) Combine like terms: 6k + -1k = 5k -4 + 5k = 1(k + 1) Reorder the terms: -4 + 5k = 1(1 + k) -4 + 5k = (1 * 1 + k * 1) -4 + 5k = (1 + 1k) Solving -4 + 5k = 1 + 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. -4 + 5k + -1k = 1 + 1k + -1k Combine like terms: 5k + -1k = 4k -4 + 4k = 1 + 1k + -1k Combine like terms: 1k + -1k = 0 -4 + 4k = 1 + 0 -4 + 4k = 1 Add '4' to each side of the equation. -4 + 4 + 4k = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 4k = 1 + 4 4k = 1 + 4 Combine like terms: 1 + 4 = 5 4k = 5 Divide each side by '4'. k = 1.25 Simplifying k = 1.25
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