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Simplifying 9(b + -3) = 6(b + 3) + 14 Reorder the terms: 9(-3 + b) = 6(b + 3) + 14 (-3 * 9 + b * 9) = 6(b + 3) + 14 (-27 + 9b) = 6(b + 3) + 14 Reorder the terms: -27 + 9b = 6(3 + b) + 14 -27 + 9b = (3 * 6 + b * 6) + 14 -27 + 9b = (18 + 6b) + 14 Reorder the terms: -27 + 9b = 18 + 14 + 6b Combine like terms: 18 + 14 = 32 -27 + 9b = 32 + 6b Solving -27 + 9b = 32 + 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 = 32 + 6b + -6b Combine like terms: 9b + -6b = 3b -27 + 3b = 32 + 6b + -6b Combine like terms: 6b + -6b = 0 -27 + 3b = 32 + 0 -27 + 3b = 32 Add '27' to each side of the equation. -27 + 27 + 3b = 32 + 27 Combine like terms: -27 + 27 = 0 0 + 3b = 32 + 27 3b = 32 + 27 Combine like terms: 32 + 27 = 59 3b = 59 Divide each side by '3'. b = 19.66666667 Simplifying b = 19.66666667
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