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Simplifying 3(7 + -6k) = 21 + -2k (7 * 3 + -6k * 3) = 21 + -2k (21 + -18k) = 21 + -2k Add '-21' to each side of the equation. 21 + -21 + -18k = 21 + -21 + -2k Combine like terms: 21 + -21 = 0 0 + -18k = 21 + -21 + -2k -18k = 21 + -21 + -2k Combine like terms: 21 + -21 = 0 -18k = 0 + -2k -18k = -2k Solving -18k = -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. -18k + 2k = -2k + 2k Combine like terms: -18k + 2k = -16k -16k = -2k + 2k Combine like terms: -2k + 2k = 0 -16k = 0 Divide each side by '-16'. k = 0 Simplifying k = 0
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