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Simplifying (18b + -11) * 2 + (9b + 2) * 2 = 360 Reorder the terms: (-11 + 18b) * 2 + (9b + 2) * 2 = 360 Reorder the terms for easier multiplication: 2(-11 + 18b) + (9b + 2) * 2 = 360 (-11 * 2 + 18b * 2) + (9b + 2) * 2 = 360 (-22 + 36b) + (9b + 2) * 2 = 360 Reorder the terms: -22 + 36b + (2 + 9b) * 2 = 360 Reorder the terms for easier multiplication: -22 + 36b + 2(2 + 9b) = 360 -22 + 36b + (2 * 2 + 9b * 2) = 360 -22 + 36b + (4 + 18b) = 360 Reorder the terms: -22 + 4 + 36b + 18b = 360 Combine like terms: -22 + 4 = -18 -18 + 36b + 18b = 360 Combine like terms: 36b + 18b = 54b -18 + 54b = 360 Solving -18 + 54b = 360 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 54b = 360 + 18 Combine like terms: -18 + 18 = 0 0 + 54b = 360 + 18 54b = 360 + 18 Combine like terms: 360 + 18 = 378 54b = 378 Divide each side by '54'. b = 7 Simplifying b = 7
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