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Simplifying 2(-2b + 2) = -3(-4 + b) Reorder the terms: 2(2 + -2b) = -3(-4 + b) (2 * 2 + -2b * 2) = -3(-4 + b) (4 + -4b) = -3(-4 + b) 4 + -4b = (-4 * -3 + b * -3) 4 + -4b = (12 + -3b) Solving 4 + -4b = 12 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 4 + -4b + 3b = 12 + -3b + 3b Combine like terms: -4b + 3b = -1b 4 + -1b = 12 + -3b + 3b Combine like terms: -3b + 3b = 0 4 + -1b = 12 + 0 4 + -1b = 12 Add '-4' to each side of the equation. 4 + -4 + -1b = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = 12 + -4 -1b = 12 + -4 Combine like terms: 12 + -4 = 8 -1b = 8 Divide each side by '-1'. b = -8 Simplifying b = -8
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