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Simplifying 6(b + 4) + -12(10b + -2) = 9b + 3 + -3 Reorder the terms: 6(4 + b) + -12(10b + -2) = 9b + 3 + -3 (4 * 6 + b * 6) + -12(10b + -2) = 9b + 3 + -3 (24 + 6b) + -12(10b + -2) = 9b + 3 + -3 Reorder the terms: 24 + 6b + -12(-2 + 10b) = 9b + 3 + -3 24 + 6b + (-2 * -12 + 10b * -12) = 9b + 3 + -3 24 + 6b + (24 + -120b) = 9b + 3 + -3 Reorder the terms: 24 + 24 + 6b + -120b = 9b + 3 + -3 Combine like terms: 24 + 24 = 48 48 + 6b + -120b = 9b + 3 + -3 Combine like terms: 6b + -120b = -114b 48 + -114b = 9b + 3 + -3 Reorder the terms: 48 + -114b = 3 + -3 + 9b Combine like terms: 3 + -3 = 0 48 + -114b = 0 + 9b 48 + -114b = 9b Solving 48 + -114b = 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. 48 + -114b + -9b = 9b + -9b Combine like terms: -114b + -9b = -123b 48 + -123b = 9b + -9b Combine like terms: 9b + -9b = 0 48 + -123b = 0 Add '-48' to each side of the equation. 48 + -48 + -123b = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -123b = 0 + -48 -123b = 0 + -48 Combine like terms: 0 + -48 = -48 -123b = -48 Divide each side by '-123'. b = 0.3902439024 Simplifying b = 0.3902439024
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