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Simplifying 5(k + -3) + -5 = 4k + -1(3k + -1) Reorder the terms: 5(-3 + k) + -5 = 4k + -1(3k + -1) (-3 * 5 + k * 5) + -5 = 4k + -1(3k + -1) (-15 + 5k) + -5 = 4k + -1(3k + -1) Reorder the terms: -15 + -5 + 5k = 4k + -1(3k + -1) Combine like terms: -15 + -5 = -20 -20 + 5k = 4k + -1(3k + -1) Reorder the terms: -20 + 5k = 4k + -1(-1 + 3k) -20 + 5k = 4k + (-1 * -1 + 3k * -1) -20 + 5k = 4k + (1 + -3k) Reorder the terms: -20 + 5k = 1 + 4k + -3k Combine like terms: 4k + -3k = 1k -20 + 5k = 1 + 1k Solving -20 + 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. -20 + 5k + -1k = 1 + 1k + -1k Combine like terms: 5k + -1k = 4k -20 + 4k = 1 + 1k + -1k Combine like terms: 1k + -1k = 0 -20 + 4k = 1 + 0 -20 + 4k = 1 Add '20' to each side of the equation. -20 + 20 + 4k = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 4k = 1 + 20 4k = 1 + 20 Combine like terms: 1 + 20 = 21 4k = 21 Divide each side by '4'. k = 5.25 Simplifying k = 5.25
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