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Simplifying 6(5b + 3) = 5(3b + 7) Reorder the terms: 6(3 + 5b) = 5(3b + 7) (3 * 6 + 5b * 6) = 5(3b + 7) (18 + 30b) = 5(3b + 7) Reorder the terms: 18 + 30b = 5(7 + 3b) 18 + 30b = (7 * 5 + 3b * 5) 18 + 30b = (35 + 15b) Solving 18 + 30b = 35 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. 18 + 30b + -15b = 35 + 15b + -15b Combine like terms: 30b + -15b = 15b 18 + 15b = 35 + 15b + -15b Combine like terms: 15b + -15b = 0 18 + 15b = 35 + 0 18 + 15b = 35 Add '-18' to each side of the equation. 18 + -18 + 15b = 35 + -18 Combine like terms: 18 + -18 = 0 0 + 15b = 35 + -18 15b = 35 + -18 Combine like terms: 35 + -18 = 17 15b = 17 Divide each side by '15'. b = 1.133333333 Simplifying b = 1.133333333
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