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Simplifying -30 + 6k = 6(7k + 7) Reorder the terms: -30 + 6k = 6(7 + 7k) -30 + 6k = (7 * 6 + 7k * 6) -30 + 6k = (42 + 42k) Solving -30 + 6k = 42 + 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. -30 + 6k + -42k = 42 + 42k + -42k Combine like terms: 6k + -42k = -36k -30 + -36k = 42 + 42k + -42k Combine like terms: 42k + -42k = 0 -30 + -36k = 42 + 0 -30 + -36k = 42 Add '30' to each side of the equation. -30 + 30 + -36k = 42 + 30 Combine like terms: -30 + 30 = 0 0 + -36k = 42 + 30 -36k = 42 + 30 Combine like terms: 42 + 30 = 72 -36k = 72 Divide each side by '-36'. k = -2 Simplifying k = -2
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