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Simplifying 15b + -27 = 3(2b + 6) Reorder the terms: -27 + 15b = 3(2b + 6) Reorder the terms: -27 + 15b = 3(6 + 2b) -27 + 15b = (6 * 3 + 2b * 3) -27 + 15b = (18 + 6b) Solving -27 + 15b = 18 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -27 + 15b + -6b = 18 + 6b + -6b Combine like terms: 15b + -6b = 9b -27 + 9b = 18 + 6b + -6b Combine like terms: 6b + -6b = 0 -27 + 9b = 18 + 0 -27 + 9b = 18 Add '27' to each side of the equation. -27 + 27 + 9b = 18 + 27 Combine like terms: -27 + 27 = 0 0 + 9b = 18 + 27 9b = 18 + 27 Combine like terms: 18 + 27 = 45 9b = 45 Divide each side by '9'. b = 5 Simplifying b = 5
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