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Simplifying 5(3 + -9b) = 3(15b + -2) (3 * 5 + -9b * 5) = 3(15b + -2) (15 + -45b) = 3(15b + -2) Reorder the terms: 15 + -45b = 3(-2 + 15b) 15 + -45b = (-2 * 3 + 15b * 3) 15 + -45b = (-6 + 45b) Solving 15 + -45b = -6 + 45b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-45b' to each side of the equation. 15 + -45b + -45b = -6 + 45b + -45b Combine like terms: -45b + -45b = -90b 15 + -90b = -6 + 45b + -45b Combine like terms: 45b + -45b = 0 15 + -90b = -6 + 0 15 + -90b = -6 Add '-15' to each side of the equation. 15 + -15 + -90b = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -90b = -6 + -15 -90b = -6 + -15 Combine like terms: -6 + -15 = -21 -90b = -21 Divide each side by '-90'. b = 0.2333333333 Simplifying b = 0.2333333333
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