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Simplifying 4(3b + -4) = 8b + -12 Reorder the terms: 4(-4 + 3b) = 8b + -12 (-4 * 4 + 3b * 4) = 8b + -12 (-16 + 12b) = 8b + -12 Reorder the terms: -16 + 12b = -12 + 8b Solving -16 + 12b = -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. -16 + 12b + -8b = -12 + 8b + -8b Combine like terms: 12b + -8b = 4b -16 + 4b = -12 + 8b + -8b Combine like terms: 8b + -8b = 0 -16 + 4b = -12 + 0 -16 + 4b = -12 Add '16' to each side of the equation. -16 + 16 + 4b = -12 + 16 Combine like terms: -16 + 16 = 0 0 + 4b = -12 + 16 4b = -12 + 16 Combine like terms: -12 + 16 = 4 4b = 4 Divide each side by '4'. b = 1 Simplifying b = 1
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