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Simplifying 4(k + -3) + -8 = 6k + -1(5k + -3) Reorder the terms: 4(-3 + k) + -8 = 6k + -1(5k + -3) (-3 * 4 + k * 4) + -8 = 6k + -1(5k + -3) (-12 + 4k) + -8 = 6k + -1(5k + -3) Reorder the terms: -12 + -8 + 4k = 6k + -1(5k + -3) Combine like terms: -12 + -8 = -20 -20 + 4k = 6k + -1(5k + -3) Reorder the terms: -20 + 4k = 6k + -1(-3 + 5k) -20 + 4k = 6k + (-3 * -1 + 5k * -1) -20 + 4k = 6k + (3 + -5k) Reorder the terms: -20 + 4k = 3 + 6k + -5k Combine like terms: 6k + -5k = 1k -20 + 4k = 3 + 1k Solving -20 + 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. -20 + 4k + -1k = 3 + 1k + -1k Combine like terms: 4k + -1k = 3k -20 + 3k = 3 + 1k + -1k Combine like terms: 1k + -1k = 0 -20 + 3k = 3 + 0 -20 + 3k = 3 Add '20' to each side of the equation. -20 + 20 + 3k = 3 + 20 Combine like terms: -20 + 20 = 0 0 + 3k = 3 + 20 3k = 3 + 20 Combine like terms: 3 + 20 = 23 3k = 23 Divide each side by '3'. k = 7.666666667 Simplifying k = 7.666666667
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