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Simplifying 3 + -1(2b + -4) = 2 + -7b Reorder the terms: 3 + -1(-4 + 2b) = 2 + -7b 3 + (-4 * -1 + 2b * -1) = 2 + -7b 3 + (4 + -2b) = 2 + -7b Combine like terms: 3 + 4 = 7 7 + -2b = 2 + -7b Solving 7 + -2b = 2 + -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. 7 + -2b + 7b = 2 + -7b + 7b Combine like terms: -2b + 7b = 5b 7 + 5b = 2 + -7b + 7b Combine like terms: -7b + 7b = 0 7 + 5b = 2 + 0 7 + 5b = 2 Add '-7' to each side of the equation. 7 + -7 + 5b = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 5b = 2 + -7 5b = 2 + -7 Combine like terms: 2 + -7 = -5 5b = -5 Divide each side by '5'. b = -1 Simplifying b = -1
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