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Simplifying 7b + 2(b + -4) = 8b + -1(3b + 2) Reorder the terms: 7b + 2(-4 + b) = 8b + -1(3b + 2) 7b + (-4 * 2 + b * 2) = 8b + -1(3b + 2) 7b + (-8 + 2b) = 8b + -1(3b + 2) Reorder the terms: -8 + 7b + 2b = 8b + -1(3b + 2) Combine like terms: 7b + 2b = 9b -8 + 9b = 8b + -1(3b + 2) Reorder the terms: -8 + 9b = 8b + -1(2 + 3b) -8 + 9b = 8b + (2 * -1 + 3b * -1) -8 + 9b = 8b + (-2 + -3b) Reorder the terms: -8 + 9b = -2 + 8b + -3b Combine like terms: 8b + -3b = 5b -8 + 9b = -2 + 5b Solving -8 + 9b = -2 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -8 + 9b + -5b = -2 + 5b + -5b Combine like terms: 9b + -5b = 4b -8 + 4b = -2 + 5b + -5b Combine like terms: 5b + -5b = 0 -8 + 4b = -2 + 0 -8 + 4b = -2 Add '8' to each side of the equation. -8 + 8 + 4b = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 4b = -2 + 8 4b = -2 + 8 Combine like terms: -2 + 8 = 6 4b = 6 Divide each side by '4'. b = 1.5 Simplifying b = 1.5
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