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Simplifying 7(6k + 1) = -37 + -2k Reorder the terms: 7(1 + 6k) = -37 + -2k (1 * 7 + 6k * 7) = -37 + -2k (7 + 42k) = -37 + -2k Solving 7 + 42k = -37 + -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. 7 + 42k + 2k = -37 + -2k + 2k Combine like terms: 42k + 2k = 44k 7 + 44k = -37 + -2k + 2k Combine like terms: -2k + 2k = 0 7 + 44k = -37 + 0 7 + 44k = -37 Add '-7' to each side of the equation. 7 + -7 + 44k = -37 + -7 Combine like terms: 7 + -7 = 0 0 + 44k = -37 + -7 44k = -37 + -7 Combine like terms: -37 + -7 = -44 44k = -44 Divide each side by '44'. k = -1 Simplifying k = -1
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