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Simplifying -228 = 4(7k + 3) + 2k Reorder the terms: -228 = 4(3 + 7k) + 2k -228 = (3 * 4 + 7k * 4) + 2k -228 = (12 + 28k) + 2k Combine like terms: 28k + 2k = 30k -228 = 12 + 30k Solving -228 = 12 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. -228 + -30k = 12 + 30k + -30k Combine like terms: 30k + -30k = 0 -228 + -30k = 12 + 0 -228 + -30k = 12 Add '228' to each side of the equation. -228 + 228 + -30k = 12 + 228 Combine like terms: -228 + 228 = 0 0 + -30k = 12 + 228 -30k = 12 + 228 Combine like terms: 12 + 228 = 240 -30k = 240 Divide each side by '-30'. k = -8 Simplifying k = -8
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