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Simplifying 6(b + 2) + -3 = 33 Reorder the terms: 6(2 + b) + -3 = 33 (2 * 6 + b * 6) + -3 = 33 (12 + 6b) + -3 = 33 Reorder the terms: 12 + -3 + 6b = 33 Combine like terms: 12 + -3 = 9 9 + 6b = 33 Solving 9 + 6b = 33 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6b = 33 + -9 Combine like terms: 9 + -9 = 0 0 + 6b = 33 + -9 6b = 33 + -9 Combine like terms: 33 + -9 = 24 6b = 24 Divide each side by '6'. b = 4 Simplifying b = 4
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