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Simplifying 7b + -1(3b + -4) = 12 + 2b Reorder the terms: 7b + -1(-4 + 3b) = 12 + 2b 7b + (-4 * -1 + 3b * -1) = 12 + 2b 7b + (4 + -3b) = 12 + 2b Reorder the terms: 4 + 7b + -3b = 12 + 2b Combine like terms: 7b + -3b = 4b 4 + 4b = 12 + 2b Solving 4 + 4b = 12 + 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. 4 + 4b + -2b = 12 + 2b + -2b Combine like terms: 4b + -2b = 2b 4 + 2b = 12 + 2b + -2b Combine like terms: 2b + -2b = 0 4 + 2b = 12 + 0 4 + 2b = 12 Add '-4' to each side of the equation. 4 + -4 + 2b = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 2b = 12 + -4 2b = 12 + -4 Combine like terms: 12 + -4 = 8 2b = 8 Divide each side by '2'. b = 4 Simplifying b = 4
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