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Simplifying 5(3 + -1b) = (-1 + b) (3 * 5 + -1b * 5) = (-1 + b) (15 + -5b) = (-1 + b) Remove parenthesis around (-1 + b) 15 + -5b = -1 + b Solving 15 + -5b = -1 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 15 + -5b + -1b = -1 + b + -1b Combine like terms: -5b + -1b = -6b 15 + -6b = -1 + b + -1b Combine like terms: b + -1b = 0 15 + -6b = -1 + 0 15 + -6b = -1 Add '-15' to each side of the equation. 15 + -15 + -6b = -1 + -15 Combine like terms: 15 + -15 = 0 0 + -6b = -1 + -15 -6b = -1 + -15 Combine like terms: -1 + -15 = -16 -6b = -16 Divide each side by '-6'. b = 2.666666667 Simplifying b = 2.666666667
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