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Simplifying 105 = 5(8 + b) 105 = (8 * 5 + b * 5) 105 = (40 + 5b) Solving 105 = 40 + 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. 105 + -5b = 40 + 5b + -5b Combine like terms: 5b + -5b = 0 105 + -5b = 40 + 0 105 + -5b = 40 Add '-105' to each side of the equation. 105 + -105 + -5b = 40 + -105 Combine like terms: 105 + -105 = 0 0 + -5b = 40 + -105 -5b = 40 + -105 Combine like terms: 40 + -105 = -65 -5b = -65 Divide each side by '-5'. b = 13 Simplifying b = 13
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