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Simplifying (9b + -3) * 3 = 9(5b + 5) Reorder the terms: (-3 + 9b) * 3 = 9(5b + 5) Reorder the terms for easier multiplication: 3(-3 + 9b) = 9(5b + 5) (-3 * 3 + 9b * 3) = 9(5b + 5) (-9 + 27b) = 9(5b + 5) Reorder the terms: -9 + 27b = 9(5 + 5b) -9 + 27b = (5 * 9 + 5b * 9) -9 + 27b = (45 + 45b) Solving -9 + 27b = 45 + 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. -9 + 27b + -45b = 45 + 45b + -45b Combine like terms: 27b + -45b = -18b -9 + -18b = 45 + 45b + -45b Combine like terms: 45b + -45b = 0 -9 + -18b = 45 + 0 -9 + -18b = 45 Add '9' to each side of the equation. -9 + 9 + -18b = 45 + 9 Combine like terms: -9 + 9 = 0 0 + -18b = 45 + 9 -18b = 45 + 9 Combine like terms: 45 + 9 = 54 -18b = 54 Divide each side by '-18'. b = -3 Simplifying b = -3
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