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Simplifying 5(k + -3) + -8 = 6k + -1(5k + -1) Reorder the terms: 5(-3 + k) + -8 = 6k + -1(5k + -1) (-3 * 5 + k * 5) + -8 = 6k + -1(5k + -1) (-15 + 5k) + -8 = 6k + -1(5k + -1) Reorder the terms: -15 + -8 + 5k = 6k + -1(5k + -1) Combine like terms: -15 + -8 = -23 -23 + 5k = 6k + -1(5k + -1) Reorder the terms: -23 + 5k = 6k + -1(-1 + 5k) -23 + 5k = 6k + (-1 * -1 + 5k * -1) -23 + 5k = 6k + (1 + -5k) Reorder the terms: -23 + 5k = 1 + 6k + -5k Combine like terms: 6k + -5k = 1k -23 + 5k = 1 + 1k Solving -23 + 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. -23 + 5k + -1k = 1 + 1k + -1k Combine like terms: 5k + -1k = 4k -23 + 4k = 1 + 1k + -1k Combine like terms: 1k + -1k = 0 -23 + 4k = 1 + 0 -23 + 4k = 1 Add '23' to each side of the equation. -23 + 23 + 4k = 1 + 23 Combine like terms: -23 + 23 = 0 0 + 4k = 1 + 23 4k = 1 + 23 Combine like terms: 1 + 23 = 24 4k = 24 Divide each side by '4'. k = 6 Simplifying k = 6
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