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Simplifying -6(4k + 1) = 38 + -2k Reorder the terms: -6(1 + 4k) = 38 + -2k (1 * -6 + 4k * -6) = 38 + -2k (-6 + -24k) = 38 + -2k Solving -6 + -24k = 38 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -6 + -24k + 2k = 38 + -2k + 2k Combine like terms: -24k + 2k = -22k -6 + -22k = 38 + -2k + 2k Combine like terms: -2k + 2k = 0 -6 + -22k = 38 + 0 -6 + -22k = 38 Add '6' to each side of the equation. -6 + 6 + -22k = 38 + 6 Combine like terms: -6 + 6 = 0 0 + -22k = 38 + 6 -22k = 38 + 6 Combine like terms: 38 + 6 = 44 -22k = 44 Divide each side by '-22'. k = -2 Simplifying k = -2
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