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Simplifying 9(b + -3) = 6(b + 3) + 4 Reorder the terms: 9(-3 + b) = 6(b + 3) + 4 (-3 * 9 + b * 9) = 6(b + 3) + 4 (-27 + 9b) = 6(b + 3) + 4 Reorder the terms: -27 + 9b = 6(3 + b) + 4 -27 + 9b = (3 * 6 + b * 6) + 4 -27 + 9b = (18 + 6b) + 4 Reorder the terms: -27 + 9b = 18 + 4 + 6b Combine like terms: 18 + 4 = 22 -27 + 9b = 22 + 6b Solving -27 + 9b = 22 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -27 + 9b + -6b = 22 + 6b + -6b Combine like terms: 9b + -6b = 3b -27 + 3b = 22 + 6b + -6b Combine like terms: 6b + -6b = 0 -27 + 3b = 22 + 0 -27 + 3b = 22 Add '27' to each side of the equation. -27 + 27 + 3b = 22 + 27 Combine like terms: -27 + 27 = 0 0 + 3b = 22 + 27 3b = 22 + 27 Combine like terms: 22 + 27 = 49 3b = 49 Divide each side by '3'. b = 16.33333333 Simplifying b = 16.33333333
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