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Simplifying 22 = 3 + 2(b + -9) Reorder the terms: 22 = 3 + 2(-9 + b) 22 = 3 + (-9 * 2 + b * 2) 22 = 3 + (-18 + 2b) Combine like terms: 3 + -18 = -15 22 = -15 + 2b Solving 22 = -15 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 22 + -2b = -15 + 2b + -2b Combine like terms: 2b + -2b = 0 22 + -2b = -15 + 0 22 + -2b = -15 Add '-22' to each side of the equation. 22 + -22 + -2b = -15 + -22 Combine like terms: 22 + -22 = 0 0 + -2b = -15 + -22 -2b = -15 + -22 Combine like terms: -15 + -22 = -37 -2b = -37 Divide each side by '-2'. b = 18.5 Simplifying b = 18.5
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