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Simplifying 6(k + 7) = 18 + 2k Reorder the terms: 6(7 + k) = 18 + 2k (7 * 6 + k * 6) = 18 + 2k (42 + 6k) = 18 + 2k Solving 42 + 6k = 18 + 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. 42 + 6k + -2k = 18 + 2k + -2k Combine like terms: 6k + -2k = 4k 42 + 4k = 18 + 2k + -2k Combine like terms: 2k + -2k = 0 42 + 4k = 18 + 0 42 + 4k = 18 Add '-42' to each side of the equation. 42 + -42 + 4k = 18 + -42 Combine like terms: 42 + -42 = 0 0 + 4k = 18 + -42 4k = 18 + -42 Combine like terms: 18 + -42 = -24 4k = -24 Divide each side by '4'. k = -6 Simplifying k = -6
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