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Simplifying -181 = 8(8b + 1) + 3 Reorder the terms: -181 = 8(1 + 8b) + 3 -181 = (1 * 8 + 8b * 8) + 3 -181 = (8 + 64b) + 3 Reorder the terms: -181 = 8 + 3 + 64b Combine like terms: 8 + 3 = 11 -181 = 11 + 64b Solving -181 = 11 + 64b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-64b' to each side of the equation. -181 + -64b = 11 + 64b + -64b Combine like terms: 64b + -64b = 0 -181 + -64b = 11 + 0 -181 + -64b = 11 Add '181' to each side of the equation. -181 + 181 + -64b = 11 + 181 Combine like terms: -181 + 181 = 0 0 + -64b = 11 + 181 -64b = 11 + 181 Combine like terms: 11 + 181 = 192 -64b = 192 Divide each side by '-64'. b = -3 Simplifying b = -3
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