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Simplifying 5 + 2(-5 + 6b) = 37 + 6n 5 + (-5 * 2 + 6b * 2) = 37 + 6n 5 + (-10 + 12b) = 37 + 6n Combine like terms: 5 + -10 = -5 -5 + 12b = 37 + 6n Solving -5 + 12b = 37 + 6n Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 12b = 37 + 5 + 6n Combine like terms: -5 + 5 = 0 0 + 12b = 37 + 5 + 6n 12b = 37 + 5 + 6n Combine like terms: 37 + 5 = 42 12b = 42 + 6n Divide each side by '12'. b = 3.5 + 0.5n Simplifying b = 3.5 + 0.5n
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