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Simplifying 35 + -1b = -8b + 3(5b + 1) Reorder the terms: 35 + -1b = -8b + 3(1 + 5b) 35 + -1b = -8b + (1 * 3 + 5b * 3) 35 + -1b = -8b + (3 + 15b) Reorder the terms: 35 + -1b = 3 + -8b + 15b Combine like terms: -8b + 15b = 7b 35 + -1b = 3 + 7b Solving 35 + -1b = 3 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 35 + -1b + -7b = 3 + 7b + -7b Combine like terms: -1b + -7b = -8b 35 + -8b = 3 + 7b + -7b Combine like terms: 7b + -7b = 0 35 + -8b = 3 + 0 35 + -8b = 3 Add '-35' to each side of the equation. 35 + -35 + -8b = 3 + -35 Combine like terms: 35 + -35 = 0 0 + -8b = 3 + -35 -8b = 3 + -35 Combine like terms: 3 + -35 = -32 -8b = -32 Divide each side by '-8'. b = 4 Simplifying b = 4
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