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Simplifying 49 = 7(7 + -6k) 49 = (7 * 7 + -6k * 7) 49 = (49 + -42k) Add '-49' to each side of the equation. 49 + -49 = 49 + -49 + -42k Combine like terms: 49 + -49 = 0 0 = 49 + -49 + -42k Combine like terms: 49 + -49 = 0 0 = 0 + -42k 0 = -42k Solving 0 = -42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42k' to each side of the equation. 0 + 42k = -42k + 42k Remove the zero: 42k = -42k + 42k Combine like terms: -42k + 42k = 0 42k = 0 Divide each side by '42'. k = 0 Simplifying k = 0
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