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Simplifying -3(b + 1) = -4(2 + b) Reorder the terms: -3(1 + b) = -4(2 + b) (1 * -3 + b * -3) = -4(2 + b) (-3 + -3b) = -4(2 + b) -3 + -3b = (2 * -4 + b * -4) -3 + -3b = (-8 + -4b) Solving -3 + -3b = -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. -3 + -3b + 4b = -8 + -4b + 4b Combine like terms: -3b + 4b = 1b -3 + 1b = -8 + -4b + 4b Combine like terms: -4b + 4b = 0 -3 + 1b = -8 + 0 -3 + 1b = -8 Add '3' to each side of the equation. -3 + 3 + 1b = -8 + 3 Combine like terms: -3 + 3 = 0 0 + 1b = -8 + 3 1b = -8 + 3 Combine like terms: -8 + 3 = -5 1b = -5 Divide each side by '1'. b = -5 Simplifying b = -5
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