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Simplifying 2(3b + -2) = 4b + 8 Reorder the terms: 2(-2 + 3b) = 4b + 8 (-2 * 2 + 3b * 2) = 4b + 8 (-4 + 6b) = 4b + 8 Reorder the terms: -4 + 6b = 8 + 4b Solving -4 + 6b = 8 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -4 + 6b + -4b = 8 + 4b + -4b Combine like terms: 6b + -4b = 2b -4 + 2b = 8 + 4b + -4b Combine like terms: 4b + -4b = 0 -4 + 2b = 8 + 0 -4 + 2b = 8 Add '4' to each side of the equation. -4 + 4 + 2b = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 2b = 8 + 4 2b = 8 + 4 Combine like terms: 8 + 4 = 12 2b = 12 Divide each side by '2'. b = 6 Simplifying b = 6
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