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Simplifying 8(1 + 5b) + 5 = 13 + 5b (1 * 8 + 5b * 8) + 5 = 13 + 5b (8 + 40b) + 5 = 13 + 5b Reorder the terms: 8 + 5 + 40b = 13 + 5b Combine like terms: 8 + 5 = 13 13 + 40b = 13 + 5b Add '-13' to each side of the equation. 13 + -13 + 40b = 13 + -13 + 5b Combine like terms: 13 + -13 = 0 0 + 40b = 13 + -13 + 5b 40b = 13 + -13 + 5b Combine like terms: 13 + -13 = 0 40b = 0 + 5b 40b = 5b Solving 40b = 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 40b + -5b = 5b + -5b Combine like terms: 40b + -5b = 35b 35b = 5b + -5b Combine like terms: 5b + -5b = 0 35b = 0 Divide each side by '35'. b = 0 Simplifying b = 0
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