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Simplifying 239 = 6(1 + 8b) + -7 239 = (1 * 6 + 8b * 6) + -7 239 = (6 + 48b) + -7 Reorder the terms: 239 = 6 + -7 + 48b Combine like terms: 6 + -7 = -1 239 = -1 + 48b Solving 239 = -1 + 48b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-48b' to each side of the equation. 239 + -48b = -1 + 48b + -48b Combine like terms: 48b + -48b = 0 239 + -48b = -1 + 0 239 + -48b = -1 Add '-239' to each side of the equation. 239 + -239 + -48b = -1 + -239 Combine like terms: 239 + -239 = 0 0 + -48b = -1 + -239 -48b = -1 + -239 Combine like terms: -1 + -239 = -240 -48b = -240 Divide each side by '-48'. b = 5 Simplifying b = 5
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