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Simplifying 3(2k + 6) = 17k + 7 Reorder the terms: 3(6 + 2k) = 17k + 7 (6 * 3 + 2k * 3) = 17k + 7 (18 + 6k) = 17k + 7 Reorder the terms: 18 + 6k = 7 + 17k Solving 18 + 6k = 7 + 17k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17k' to each side of the equation. 18 + 6k + -17k = 7 + 17k + -17k Combine like terms: 6k + -17k = -11k 18 + -11k = 7 + 17k + -17k Combine like terms: 17k + -17k = 0 18 + -11k = 7 + 0 18 + -11k = 7 Add '-18' to each side of the equation. 18 + -18 + -11k = 7 + -18 Combine like terms: 18 + -18 = 0 0 + -11k = 7 + -18 -11k = 7 + -18 Combine like terms: 7 + -18 = -11 -11k = -11 Divide each side by '-11'. k = 1 Simplifying k = 1
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