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Simplifying 5(4k + -2) = 6k + -38 Reorder the terms: 5(-2 + 4k) = 6k + -38 (-2 * 5 + 4k * 5) = 6k + -38 (-10 + 20k) = 6k + -38 Reorder the terms: -10 + 20k = -38 + 6k Solving -10 + 20k = -38 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -10 + 20k + -6k = -38 + 6k + -6k Combine like terms: 20k + -6k = 14k -10 + 14k = -38 + 6k + -6k Combine like terms: 6k + -6k = 0 -10 + 14k = -38 + 0 -10 + 14k = -38 Add '10' to each side of the equation. -10 + 10 + 14k = -38 + 10 Combine like terms: -10 + 10 = 0 0 + 14k = -38 + 10 14k = -38 + 10 Combine like terms: -38 + 10 = -28 14k = -28 Divide each side by '14'. k = -2 Simplifying k = -2
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