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Simplifying 6(k + -3) + -5 = 4k + -1(3k + -1) Reorder the terms: 6(-3 + k) + -5 = 4k + -1(3k + -1) (-3 * 6 + k * 6) + -5 = 4k + -1(3k + -1) (-18 + 6k) + -5 = 4k + -1(3k + -1) Reorder the terms: -18 + -5 + 6k = 4k + -1(3k + -1) Combine like terms: -18 + -5 = -23 -23 + 6k = 4k + -1(3k + -1) Reorder the terms: -23 + 6k = 4k + -1(-1 + 3k) -23 + 6k = 4k + (-1 * -1 + 3k * -1) -23 + 6k = 4k + (1 + -3k) Reorder the terms: -23 + 6k = 1 + 4k + -3k Combine like terms: 4k + -3k = 1k -23 + 6k = 1 + 1k Solving -23 + 6k = 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 + 6k + -1k = 1 + 1k + -1k Combine like terms: 6k + -1k = 5k -23 + 5k = 1 + 1k + -1k Combine like terms: 1k + -1k = 0 -23 + 5k = 1 + 0 -23 + 5k = 1 Add '23' to each side of the equation. -23 + 23 + 5k = 1 + 23 Combine like terms: -23 + 23 = 0 0 + 5k = 1 + 23 5k = 1 + 23 Combine like terms: 1 + 23 = 24 5k = 24 Divide each side by '5'. k = 4.8 Simplifying k = 4.8
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