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Simplifying 6(k + -3) + -1(k + -4) = (k + 6) + -1 Reorder the terms: 6(-3 + k) + -1(k + -4) = (k + 6) + -1 (-3 * 6 + k * 6) + -1(k + -4) = (k + 6) + -1 (-18 + 6k) + -1(k + -4) = (k + 6) + -1 Reorder the terms: -18 + 6k + -1(-4 + k) = (k + 6) + -1 -18 + 6k + (-4 * -1 + k * -1) = (k + 6) + -1 -18 + 6k + (4 + -1k) = (k + 6) + -1 Reorder the terms: -18 + 4 + 6k + -1k = (k + 6) + -1 Combine like terms: -18 + 4 = -14 -14 + 6k + -1k = (k + 6) + -1 Combine like terms: 6k + -1k = 5k -14 + 5k = (k + 6) + -1 Reorder the terms: -14 + 5k = (6 + k) + -1 Remove parenthesis around (6 + k) -14 + 5k = 6 + k + -1 Reorder the terms: -14 + 5k = 6 + -1 + k Combine like terms: 6 + -1 = 5 -14 + 5k = 5 + k Solving -14 + 5k = 5 + k 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. -14 + 5k + -1k = 5 + k + -1k Combine like terms: 5k + -1k = 4k -14 + 4k = 5 + k + -1k Combine like terms: k + -1k = 0 -14 + 4k = 5 + 0 -14 + 4k = 5 Add '14' to each side of the equation. -14 + 14 + 4k = 5 + 14 Combine like terms: -14 + 14 = 0 0 + 4k = 5 + 14 4k = 5 + 14 Combine like terms: 5 + 14 = 19 4k = 19 Divide each side by '4'. k = 4.75 Simplifying k = 4.75
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