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Simplifying 2(7 + 3b) = -2(-1 + -1b) (7 * 2 + 3b * 2) = -2(-1 + -1b) (14 + 6b) = -2(-1 + -1b) 14 + 6b = (-1 * -2 + -1b * -2) 14 + 6b = (2 + 2b) Solving 14 + 6b = 2 + 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. 14 + 6b + -2b = 2 + 2b + -2b Combine like terms: 6b + -2b = 4b 14 + 4b = 2 + 2b + -2b Combine like terms: 2b + -2b = 0 14 + 4b = 2 + 0 14 + 4b = 2 Add '-14' to each side of the equation. 14 + -14 + 4b = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 4b = 2 + -14 4b = 2 + -14 Combine like terms: 2 + -14 = -12 4b = -12 Divide each side by '4'. b = -3 Simplifying b = -3
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