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Simplifying -238 = 7(1 + 7b) -238 = (1 * 7 + 7b * 7) -238 = (7 + 49b) Solving -238 = 7 + 49b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-49b' to each side of the equation. -238 + -49b = 7 + 49b + -49b Combine like terms: 49b + -49b = 0 -238 + -49b = 7 + 0 -238 + -49b = 7 Add '238' to each side of the equation. -238 + 238 + -49b = 7 + 238 Combine like terms: -238 + 238 = 0 0 + -49b = 7 + 238 -49b = 7 + 238 Combine like terms: 7 + 238 = 245 -49b = 245 Divide each side by '-49'. b = -5 Simplifying b = -5
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