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