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Simplifying 4(k + -2) + -6 = 3k + -1(2k + -1) Reorder the terms: 4(-2 + k) + -6 = 3k + -1(2k + -1) (-2 * 4 + k * 4) + -6 = 3k + -1(2k + -1) (-8 + 4k) + -6 = 3k + -1(2k + -1) Reorder the terms: -8 + -6 + 4k = 3k + -1(2k + -1) Combine like terms: -8 + -6 = -14 -14 + 4k = 3k + -1(2k + -1) Reorder the terms: -14 + 4k = 3k + -1(-1 + 2k) -14 + 4k = 3k + (-1 * -1 + 2k * -1) -14 + 4k = 3k + (1 + -2k) Reorder the terms: -14 + 4k = 1 + 3k + -2k Combine like terms: 3k + -2k = 1k -14 + 4k = 1 + 1k Solving -14 + 4k = 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. -14 + 4k + -1k = 1 + 1k + -1k Combine like terms: 4k + -1k = 3k -14 + 3k = 1 + 1k + -1k Combine like terms: 1k + -1k = 0 -14 + 3k = 1 + 0 -14 + 3k = 1 Add '14' to each side of the equation. -14 + 14 + 3k = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 3k = 1 + 14 3k = 1 + 14 Combine like terms: 1 + 14 = 15 3k = 15 Divide each side by '3'. k = 5 Simplifying k = 5
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