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Simplifying -1(b + -2) + -2(2b + 3) = 1 Reorder the terms: -1(-2 + b) + -2(2b + 3) = 1 (-2 * -1 + b * -1) + -2(2b + 3) = 1 (2 + -1b) + -2(2b + 3) = 1 Reorder the terms: 2 + -1b + -2(3 + 2b) = 1 2 + -1b + (3 * -2 + 2b * -2) = 1 2 + -1b + (-6 + -4b) = 1 Reorder the terms: 2 + -6 + -1b + -4b = 1 Combine like terms: 2 + -6 = -4 -4 + -1b + -4b = 1 Combine like terms: -1b + -4b = -5b -4 + -5b = 1 Solving -4 + -5b = 1 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5b = 1 + 4 Combine like terms: -4 + 4 = 0 0 + -5b = 1 + 4 -5b = 1 + 4 Combine like terms: 1 + 4 = 5 -5b = 5 Divide each side by '-5'. b = -1 Simplifying b = -1
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