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Simplifying -2(1 + b) = (b + -8) + -3 (1 * -2 + b * -2) = (b + -8) + -3 (-2 + -2b) = (b + -8) + -3 Reorder the terms: -2 + -2b = (-8 + b) + -3 Remove parenthesis around (-8 + b) -2 + -2b = -8 + b + -3 Reorder the terms: -2 + -2b = -8 + -3 + b Combine like terms: -8 + -3 = -11 -2 + -2b = -11 + b Solving -2 + -2b = -11 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -2 + -2b + -1b = -11 + b + -1b Combine like terms: -2b + -1b = -3b -2 + -3b = -11 + b + -1b Combine like terms: b + -1b = 0 -2 + -3b = -11 + 0 -2 + -3b = -11 Add '2' to each side of the equation. -2 + 2 + -3b = -11 + 2 Combine like terms: -2 + 2 = 0 0 + -3b = -11 + 2 -3b = -11 + 2 Combine like terms: -11 + 2 = -9 -3b = -9 Divide each side by '-3'. b = 3 Simplifying b = 3
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