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Simplifying 5 = 8(1 + 8b) + -1(5b + 3) 5 = (1 * 8 + 8b * 8) + -1(5b + 3) 5 = (8 + 64b) + -1(5b + 3) Reorder the terms: 5 = 8 + 64b + -1(3 + 5b) 5 = 8 + 64b + (3 * -1 + 5b * -1) 5 = 8 + 64b + (-3 + -5b) Reorder the terms: 5 = 8 + -3 + 64b + -5b Combine like terms: 8 + -3 = 5 5 = 5 + 64b + -5b Combine like terms: 64b + -5b = 59b 5 = 5 + 59b Add '-5' to each side of the equation. 5 + -5 = 5 + -5 + 59b Combine like terms: 5 + -5 = 0 0 = 5 + -5 + 59b Combine like terms: 5 + -5 = 0 0 = 0 + 59b 0 = 59b Solving 0 = 59b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-59b' to each side of the equation. 0 + -59b = 59b + -59b Remove the zero: -59b = 59b + -59b Combine like terms: 59b + -59b = 0 -59b = 0 Divide each side by '-59'. b = 0 Simplifying b = 0
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