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Simplifying -209 = 4(2 + 7k) + 3k -209 = (2 * 4 + 7k * 4) + 3k -209 = (8 + 28k) + 3k Combine like terms: 28k + 3k = 31k -209 = 8 + 31k Solving -209 = 8 + 31k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-31k' to each side of the equation. -209 + -31k = 8 + 31k + -31k Combine like terms: 31k + -31k = 0 -209 + -31k = 8 + 0 -209 + -31k = 8 Add '209' to each side of the equation. -209 + 209 + -31k = 8 + 209 Combine like terms: -209 + 209 = 0 0 + -31k = 8 + 209 -31k = 8 + 209 Combine like terms: 8 + 209 = 217 -31k = 217 Divide each side by '-31'. k = -7 Simplifying k = -7
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