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Simplifying 8(5 + -5b) + -5 = 8b + -13 (5 * 8 + -5b * 8) + -5 = 8b + -13 (40 + -40b) + -5 = 8b + -13 Reorder the terms: 40 + -5 + -40b = 8b + -13 Combine like terms: 40 + -5 = 35 35 + -40b = 8b + -13 Reorder the terms: 35 + -40b = -13 + 8b Solving 35 + -40b = -13 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 35 + -40b + -8b = -13 + 8b + -8b Combine like terms: -40b + -8b = -48b 35 + -48b = -13 + 8b + -8b Combine like terms: 8b + -8b = 0 35 + -48b = -13 + 0 35 + -48b = -13 Add '-35' to each side of the equation. 35 + -35 + -48b = -13 + -35 Combine like terms: 35 + -35 = 0 0 + -48b = -13 + -35 -48b = -13 + -35 Combine like terms: -13 + -35 = -48 -48b = -48 Divide each side by '-48'. b = 1 Simplifying b = 1
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