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Simplifying (9b + -5) + -2(4b + 2) = -2 Reorder the terms: (-5 + 9b) + -2(4b + 2) = -2 Remove parenthesis around (-5 + 9b) -5 + 9b + -2(4b + 2) = -2 Reorder the terms: -5 + 9b + -2(2 + 4b) = -2 -5 + 9b + (2 * -2 + 4b * -2) = -2 -5 + 9b + (-4 + -8b) = -2 Reorder the terms: -5 + -4 + 9b + -8b = -2 Combine like terms: -5 + -4 = -9 -9 + 9b + -8b = -2 Combine like terms: 9b + -8b = 1b -9 + 1b = -2 Solving -9 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 1b = -2 + 9 Combine like terms: -9 + 9 = 0 0 + 1b = -2 + 9 1b = -2 + 9 Combine like terms: -2 + 9 = 7 1b = 7 Divide each side by '1'. b = 7 Simplifying b = 7
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