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Simplifying -8b + -4(9 + -5b) = -4(-6 + 2b) -8b + (9 * -4 + -5b * -4) = -4(-6 + 2b) -8b + (-36 + 20b) = -4(-6 + 2b) Reorder the terms: -36 + -8b + 20b = -4(-6 + 2b) Combine like terms: -8b + 20b = 12b -36 + 12b = -4(-6 + 2b) -36 + 12b = (-6 * -4 + 2b * -4) -36 + 12b = (24 + -8b) Solving -36 + 12b = 24 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -36 + 12b + 8b = 24 + -8b + 8b Combine like terms: 12b + 8b = 20b -36 + 20b = 24 + -8b + 8b Combine like terms: -8b + 8b = 0 -36 + 20b = 24 + 0 -36 + 20b = 24 Add '36' to each side of the equation. -36 + 36 + 20b = 24 + 36 Combine like terms: -36 + 36 = 0 0 + 20b = 24 + 36 20b = 24 + 36 Combine like terms: 24 + 36 = 60 20b = 60 Divide each side by '20'. b = 3 Simplifying b = 3
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