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Simplifying 7(1 + 3k) = -38 + 6k (1 * 7 + 3k * 7) = -38 + 6k (7 + 21k) = -38 + 6k Solving 7 + 21k = -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. 7 + 21k + -6k = -38 + 6k + -6k Combine like terms: 21k + -6k = 15k 7 + 15k = -38 + 6k + -6k Combine like terms: 6k + -6k = 0 7 + 15k = -38 + 0 7 + 15k = -38 Add '-7' to each side of the equation. 7 + -7 + 15k = -38 + -7 Combine like terms: 7 + -7 = 0 0 + 15k = -38 + -7 15k = -38 + -7 Combine like terms: -38 + -7 = -45 15k = -45 Divide each side by '15'. k = -3 Simplifying k = -3
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