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Simplifying 237 = 8(7k + -6) + 5 Reorder the terms: 237 = 8(-6 + 7k) + 5 237 = (-6 * 8 + 7k * 8) + 5 237 = (-48 + 56k) + 5 Reorder the terms: 237 = -48 + 5 + 56k Combine like terms: -48 + 5 = -43 237 = -43 + 56k Solving 237 = -43 + 56k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-56k' to each side of the equation. 237 + -56k = -43 + 56k + -56k Combine like terms: 56k + -56k = 0 237 + -56k = -43 + 0 237 + -56k = -43 Add '-237' to each side of the equation. 237 + -237 + -56k = -43 + -237 Combine like terms: 237 + -237 = 0 0 + -56k = -43 + -237 -56k = -43 + -237 Combine like terms: -43 + -237 = -280 -56k = -280 Divide each side by '-56'. k = 5 Simplifying k = 5
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