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