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Simplifying 5(3 + -1B) = -1(1 + B) (3 * 5 + -1B * 5) = -1(1 + B) (15 + -5B) = -1(1 + B) 15 + -5B = (1 * -1 + B * -1) 15 + -5B = (-1 + -1B) Solving 15 + -5B = -1 + -1B Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add 'B' to each side of the equation. 15 + -5B + B = -1 + -1B + B Combine like terms: -5B + B = -4B 15 + -4B = -1 + -1B + B Combine like terms: -1B + B = 0 15 + -4B = -1 + 0 15 + -4B = -1 Add '-15' to each side of the equation. 15 + -15 + -4B = -1 + -15 Combine like terms: 15 + -15 = 0 0 + -4B = -1 + -15 -4B = -1 + -15 Combine like terms: -1 + -15 = -16 -4B = -16 Divide each side by '-4'. B = 4 Simplifying B = 4
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