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Simplifying 2b + 3(b + -2) = 27 + 2 Reorder the terms: 2b + 3(-2 + b) = 27 + 2 2b + (-2 * 3 + b * 3) = 27 + 2 2b + (-6 + 3b) = 27 + 2 Reorder the terms: -6 + 2b + 3b = 27 + 2 Combine like terms: 2b + 3b = 5b -6 + 5b = 27 + 2 Combine like terms: 27 + 2 = 29 -6 + 5b = 29 Solving -6 + 5b = 29 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5b = 29 + 6 Combine like terms: -6 + 6 = 0 0 + 5b = 29 + 6 5b = 29 + 6 Combine like terms: 29 + 6 = 35 5b = 35 Divide each side by '5'. b = 7 Simplifying b = 7
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