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Simplifying -3 + 5(b + 4) + 4(b + 3) = 2 Reorder the terms: -3 + 5(4 + b) + 4(b + 3) = 2 -3 + (4 * 5 + b * 5) + 4(b + 3) = 2 -3 + (20 + 5b) + 4(b + 3) = 2 Reorder the terms: -3 + 20 + 5b + 4(3 + b) = 2 -3 + 20 + 5b + (3 * 4 + b * 4) = 2 -3 + 20 + 5b + (12 + 4b) = 2 Reorder the terms: -3 + 20 + 12 + 5b + 4b = 2 Combine like terms: -3 + 20 = 17 17 + 12 + 5b + 4b = 2 Combine like terms: 17 + 12 = 29 29 + 5b + 4b = 2 Combine like terms: 5b + 4b = 9b 29 + 9b = 2 Solving 29 + 9b = 2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 9b = 2 + -29 Combine like terms: 29 + -29 = 0 0 + 9b = 2 + -29 9b = 2 + -29 Combine like terms: 2 + -29 = -27 9b = -27 Divide each side by '9'. b = -3 Simplifying b = -3
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