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Simplifying -3(-6 + -4k) = -7 + 7(1 + 3k) (-6 * -3 + -4k * -3) = -7 + 7(1 + 3k) (18 + 12k) = -7 + 7(1 + 3k) 18 + 12k = -7 + (1 * 7 + 3k * 7) 18 + 12k = -7 + (7 + 21k) Combine like terms: -7 + 7 = 0 18 + 12k = 0 + 21k 18 + 12k = 21k Solving 18 + 12k = 21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21k' to each side of the equation. 18 + 12k + -21k = 21k + -21k Combine like terms: 12k + -21k = -9k 18 + -9k = 21k + -21k Combine like terms: 21k + -21k = 0 18 + -9k = 0 Add '-18' to each side of the equation. 18 + -18 + -9k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -9k = 0 + -18 -9k = 0 + -18 Combine like terms: 0 + -18 = -18 -9k = -18 Divide each side by '-9'. k = 2 Simplifying k = 2
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