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Simplifying 27 = 3b + 6(2b + 7) Reorder the terms: 27 = 3b + 6(7 + 2b) 27 = 3b + (7 * 6 + 2b * 6) 27 = 3b + (42 + 12b) Reorder the terms: 27 = 42 + 3b + 12b Combine like terms: 3b + 12b = 15b 27 = 42 + 15b Solving 27 = 42 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. 27 + -15b = 42 + 15b + -15b Combine like terms: 15b + -15b = 0 27 + -15b = 42 + 0 27 + -15b = 42 Add '-27' to each side of the equation. 27 + -27 + -15b = 42 + -27 Combine like terms: 27 + -27 = 0 0 + -15b = 42 + -27 -15b = 42 + -27 Combine like terms: 42 + -27 = 15 -15b = 15 Divide each side by '-15'. b = -1 Simplifying b = -1
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