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