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Simplifying 15 + -1(9 + 10b) + (20b + -4) = 22 15 + (9 * -1 + 10b * -1) + (20b + -4) = 22 15 + (-9 + -10b) + (20b + -4) = 22 Reorder the terms: 15 + -9 + -10b + (-4 + 20b) = 22 Remove parenthesis around (-4 + 20b) 15 + -9 + -10b + -4 + 20b = 22 Reorder the terms: 15 + -9 + -4 + -10b + 20b = 22 Combine like terms: 15 + -9 = 6 6 + -4 + -10b + 20b = 22 Combine like terms: 6 + -4 = 2 2 + -10b + 20b = 22 Combine like terms: -10b + 20b = 10b 2 + 10b = 22 Solving 2 + 10b = 22 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 10b = 22 + -2 Combine like terms: 2 + -2 = 0 0 + 10b = 22 + -2 10b = 22 + -2 Combine like terms: 22 + -2 = 20 10b = 20 Divide each side by '10'. b = 2 Simplifying b = 2
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