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Simplifying 90 = b + 15(b + 2) + 15 + 2b + -9 Reorder the terms: 90 = b + 15(2 + b) + 15 + 2b + -9 90 = b + (2 * 15 + b * 15) + 15 + 2b + -9 90 = b + (30 + 15b) + 15 + 2b + -9 Reorder the terms: 90 = 30 + 15 + -9 + b + 15b + 2b Combine like terms: 30 + 15 = 45 90 = 45 + -9 + b + 15b + 2b Combine like terms: 45 + -9 = 36 90 = 36 + b + 15b + 2b Combine like terms: b + 15b = 16b 90 = 36 + 16b + 2b Combine like terms: 16b + 2b = 18b 90 = 36 + 18b Solving 90 = 36 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. 90 + -18b = 36 + 18b + -18b Combine like terms: 18b + -18b = 0 90 + -18b = 36 + 0 90 + -18b = 36 Add '-90' to each side of the equation. 90 + -90 + -18b = 36 + -90 Combine like terms: 90 + -90 = 0 0 + -18b = 36 + -90 -18b = 36 + -90 Combine like terms: 36 + -90 = -54 -18b = -54 Divide each side by '-18'. b = 3 Simplifying b = 3
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