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Simplifying 3(3 + 4b) = 6(b + 7) + -5b (3 * 3 + 4b * 3) = 6(b + 7) + -5b (9 + 12b) = 6(b + 7) + -5b Reorder the terms: 9 + 12b = 6(7 + b) + -5b 9 + 12b = (7 * 6 + b * 6) + -5b 9 + 12b = (42 + 6b) + -5b Combine like terms: 6b + -5b = 1b 9 + 12b = 42 + 1b Solving 9 + 12b = 42 + 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 9 + 12b + -1b = 42 + 1b + -1b Combine like terms: 12b + -1b = 11b 9 + 11b = 42 + 1b + -1b Combine like terms: 1b + -1b = 0 9 + 11b = 42 + 0 9 + 11b = 42 Add '-9' to each side of the equation. 9 + -9 + 11b = 42 + -9 Combine like terms: 9 + -9 = 0 0 + 11b = 42 + -9 11b = 42 + -9 Combine like terms: 42 + -9 = 33 11b = 33 Divide each side by '11'. b = 3 Simplifying b = 3
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