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Simplifying -1(2 + -2b) = 7 + -7b (2 * -1 + -2b * -1) = 7 + -7b (-2 + 2b) = 7 + -7b Solving -2 + 2b = 7 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. -2 + 2b + 7b = 7 + -7b + 7b Combine like terms: 2b + 7b = 9b -2 + 9b = 7 + -7b + 7b Combine like terms: -7b + 7b = 0 -2 + 9b = 7 + 0 -2 + 9b = 7 Add '2' to each side of the equation. -2 + 2 + 9b = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 9b = 7 + 2 9b = 7 + 2 Combine like terms: 7 + 2 = 9 9b = 9 Divide each side by '9'. b = 1 Simplifying b = 1
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