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Simplifying 6(1 + 2b) + -3 = 2b + 33 (1 * 6 + 2b * 6) + -3 = 2b + 33 (6 + 12b) + -3 = 2b + 33 Reorder the terms: 6 + -3 + 12b = 2b + 33 Combine like terms: 6 + -3 = 3 3 + 12b = 2b + 33 Reorder the terms: 3 + 12b = 33 + 2b Solving 3 + 12b = 33 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 3 + 12b + -2b = 33 + 2b + -2b Combine like terms: 12b + -2b = 10b 3 + 10b = 33 + 2b + -2b Combine like terms: 2b + -2b = 0 3 + 10b = 33 + 0 3 + 10b = 33 Add '-3' to each side of the equation. 3 + -3 + 10b = 33 + -3 Combine like terms: 3 + -3 = 0 0 + 10b = 33 + -3 10b = 33 + -3 Combine like terms: 33 + -3 = 30 10b = 30 Divide each side by '10'. b = 3 Simplifying b = 3
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