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Simplifying 5(k + -2) + -6 = 3k + -1(2k + -1) Reorder the terms: 5(-2 + k) + -6 = 3k + -1(2k + -1) (-2 * 5 + k * 5) + -6 = 3k + -1(2k + -1) (-10 + 5k) + -6 = 3k + -1(2k + -1) Reorder the terms: -10 + -6 + 5k = 3k + -1(2k + -1) Combine like terms: -10 + -6 = -16 -16 + 5k = 3k + -1(2k + -1) Reorder the terms: -16 + 5k = 3k + -1(-1 + 2k) -16 + 5k = 3k + (-1 * -1 + 2k * -1) -16 + 5k = 3k + (1 + -2k) Reorder the terms: -16 + 5k = 1 + 3k + -2k Combine like terms: 3k + -2k = 1k -16 + 5k = 1 + 1k Solving -16 + 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. -16 + 5k + -1k = 1 + 1k + -1k Combine like terms: 5k + -1k = 4k -16 + 4k = 1 + 1k + -1k Combine like terms: 1k + -1k = 0 -16 + 4k = 1 + 0 -16 + 4k = 1 Add '16' to each side of the equation. -16 + 16 + 4k = 1 + 16 Combine like terms: -16 + 16 = 0 0 + 4k = 1 + 16 4k = 1 + 16 Combine like terms: 1 + 16 = 17 4k = 17 Divide each side by '4'. k = 4.25 Simplifying k = 4.25
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