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Simplifying 4k + 6(3k + 1) = -38 Reorder the terms: 4k + 6(1 + 3k) = -38 4k + (1 * 6 + 3k * 6) = -38 4k + (6 + 18k) = -38 Reorder the terms: 6 + 4k + 18k = -38 Combine like terms: 4k + 18k = 22k 6 + 22k = -38 Solving 6 + 22k = -38 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. 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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