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Simplifying -1(b + 4) = 12 + 3b Reorder the terms: -1(4 + b) = 12 + 3b (4 * -1 + b * -1) = 12 + 3b (-4 + -1b) = 12 + 3b Solving -4 + -1b = 12 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -4 + -1b + -3b = 12 + 3b + -3b Combine like terms: -1b + -3b = -4b -4 + -4b = 12 + 3b + -3b Combine like terms: 3b + -3b = 0 -4 + -4b = 12 + 0 -4 + -4b = 12 Add '4' to each side of the equation. -4 + 4 + -4b = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -4b = 12 + 4 -4b = 12 + 4 Combine like terms: 12 + 4 = 16 -4b = 16 Divide each side by '-4'. b = -4 Simplifying b = -4
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