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Simplifying -4(4B + 5) = -12(B + 2) Reorder the terms: -4(5 + 4B) = -12(B + 2) (5 * -4 + 4B * -4) = -12(B + 2) (-20 + -16B) = -12(B + 2) Reorder the terms: -20 + -16B = -12(2 + B) -20 + -16B = (2 * -12 + B * -12) -20 + -16B = (-24 + -12B) Solving -20 + -16B = -24 + -12B Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '12B' to each side of the equation. -20 + -16B + 12B = -24 + -12B + 12B Combine like terms: -16B + 12B = -4B -20 + -4B = -24 + -12B + 12B Combine like terms: -12B + 12B = 0 -20 + -4B = -24 + 0 -20 + -4B = -24 Add '20' to each side of the equation. -20 + 20 + -4B = -24 + 20 Combine like terms: -20 + 20 = 0 0 + -4B = -24 + 20 -4B = -24 + 20 Combine like terms: -24 + 20 = -4 -4B = -4 Divide each side by '-4'. B = 1 Simplifying B = 1
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