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Simplifying -186 = 6(7k + -3) Reorder the terms: -186 = 6(-3 + 7k) -186 = (-3 * 6 + 7k * 6) -186 = (-18 + 42k) Solving -186 = -18 + 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. -186 + -42k = -18 + 42k + -42k Combine like terms: 42k + -42k = 0 -186 + -42k = -18 + 0 -186 + -42k = -18 Add '186' to each side of the equation. -186 + 186 + -42k = -18 + 186 Combine like terms: -186 + 186 = 0 0 + -42k = -18 + 186 -42k = -18 + 186 Combine like terms: -18 + 186 = 168 -42k = 168 Divide each side by '-42'. k = -4 Simplifying k = -4
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