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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 = -4 1b = -4 Divide each side by '1'. b = -4 Simplifying b = -4
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