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Simplifying 9(5b + -2) = 36 + 3b Reorder the terms: 9(-2 + 5b) = 36 + 3b (-2 * 9 + 5b * 9) = 36 + 3b (-18 + 45b) = 36 + 3b Solving -18 + 45b = 36 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -18 + 45b + -3b = 36 + 3b + -3b Combine like terms: 45b + -3b = 42b -18 + 42b = 36 + 3b + -3b Combine like terms: 3b + -3b = 0 -18 + 42b = 36 + 0 -18 + 42b = 36 Add '18' to each side of the equation. -18 + 18 + 42b = 36 + 18 Combine like terms: -18 + 18 = 0 0 + 42b = 36 + 18 42b = 36 + 18 Combine like terms: 36 + 18 = 54 42b = 54 Divide each side by '42'. b = 1.285714286 Simplifying b = 1.285714286
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