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Simplifying 3(2b + -1) = 2(b + 3) Reorder the terms: 3(-1 + 2b) = 2(b + 3) (-1 * 3 + 2b * 3) = 2(b + 3) (-3 + 6b) = 2(b + 3) Reorder the terms: -3 + 6b = 2(3 + b) -3 + 6b = (3 * 2 + b * 2) -3 + 6b = (6 + 2b) Solving -3 + 6b = 6 + 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. -3 + 6b + -2b = 6 + 2b + -2b Combine like terms: 6b + -2b = 4b -3 + 4b = 6 + 2b + -2b Combine like terms: 2b + -2b = 0 -3 + 4b = 6 + 0 -3 + 4b = 6 Add '3' to each side of the equation. -3 + 3 + 4b = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 4b = 6 + 3 4b = 6 + 3 Combine like terms: 6 + 3 = 9 4b = 9 Divide each side by '4'. b = 2.25 Simplifying b = 2.25
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