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Simplifying -2(-2b + 3) + -2(2 + -2b) = b + 1 + b + -5 Reorder the terms: -2(3 + -2b) + -2(2 + -2b) = b + 1 + b + -5 (3 * -2 + -2b * -2) + -2(2 + -2b) = b + 1 + b + -5 (-6 + 4b) + -2(2 + -2b) = b + 1 + b + -5 -6 + 4b + (2 * -2 + -2b * -2) = b + 1 + b + -5 -6 + 4b + (-4 + 4b) = b + 1 + b + -5 Reorder the terms: -6 + -4 + 4b + 4b = b + 1 + b + -5 Combine like terms: -6 + -4 = -10 -10 + 4b + 4b = b + 1 + b + -5 Combine like terms: 4b + 4b = 8b -10 + 8b = b + 1 + b + -5 Reorder the terms: -10 + 8b = 1 + -5 + b + b Combine like terms: 1 + -5 = -4 -10 + 8b = -4 + b + b Combine like terms: b + b = 2b -10 + 8b = -4 + 2b Solving -10 + 8b = -4 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -10 + 8b + -2b = -4 + 2b + -2b Combine like terms: 8b + -2b = 6b -10 + 6b = -4 + 2b + -2b Combine like terms: 2b + -2b = 0 -10 + 6b = -4 + 0 -10 + 6b = -4 Add '10' to each side of the equation. -10 + 10 + 6b = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 6b = -4 + 10 6b = -4 + 10 Combine like terms: -4 + 10 = 6 6b = 6 Divide each side by '6'. b = 1 Simplifying b = 1
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