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Simplifying 2(2b + -1) = 3(b + 2) Reorder the terms: 2(-1 + 2b) = 3(b + 2) (-1 * 2 + 2b * 2) = 3(b + 2) (-2 + 4b) = 3(b + 2) Reorder the terms: -2 + 4b = 3(2 + b) -2 + 4b = (2 * 3 + b * 3) -2 + 4b = (6 + 3b) Solving -2 + 4b = 6 + 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. -2 + 4b + -3b = 6 + 3b + -3b Combine like terms: 4b + -3b = 1b -2 + 1b = 6 + 3b + -3b Combine like terms: 3b + -3b = 0 -2 + 1b = 6 + 0 -2 + 1b = 6 Add '2' to each side of the equation. -2 + 2 + 1b = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 1b = 6 + 2 1b = 6 + 2 Combine like terms: 6 + 2 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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