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Simplifying 3(b + -3) = 9(3b + -2) Reorder the terms: 3(-3 + b) = 9(3b + -2) (-3 * 3 + b * 3) = 9(3b + -2) (-9 + 3b) = 9(3b + -2) Reorder the terms: -9 + 3b = 9(-2 + 3b) -9 + 3b = (-2 * 9 + 3b * 9) -9 + 3b = (-18 + 27b) Solving -9 + 3b = -18 + 27b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-27b' to each side of the equation. -9 + 3b + -27b = -18 + 27b + -27b Combine like terms: 3b + -27b = -24b -9 + -24b = -18 + 27b + -27b Combine like terms: 27b + -27b = 0 -9 + -24b = -18 + 0 -9 + -24b = -18 Add '9' to each side of the equation. -9 + 9 + -24b = -18 + 9 Combine like terms: -9 + 9 = 0 0 + -24b = -18 + 9 -24b = -18 + 9 Combine like terms: -18 + 9 = -9 -24b = -9 Divide each side by '-24'. b = 0.375 Simplifying b = 0.375
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