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Simplifying -6(7 + 7k) = 3 + 3k (7 * -6 + 7k * -6) = 3 + 3k (-42 + -42k) = 3 + 3k Solving -42 + -42k = 3 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -42 + -42k + -3k = 3 + 3k + -3k Combine like terms: -42k + -3k = -45k -42 + -45k = 3 + 3k + -3k Combine like terms: 3k + -3k = 0 -42 + -45k = 3 + 0 -42 + -45k = 3 Add '42' to each side of the equation. -42 + 42 + -45k = 3 + 42 Combine like terms: -42 + 42 = 0 0 + -45k = 3 + 42 -45k = 3 + 42 Combine like terms: 3 + 42 = 45 -45k = 45 Divide each side by '-45'. k = -1 Simplifying k = -1
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