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Simplifying 8 + -1(3 + B) = 6 + -2(7.5 + -0.5B) 8 + (3 * -1 + B * -1) = 6 + -2(7.5 + -0.5B) 8 + (-3 + -1B) = 6 + -2(7.5 + -0.5B) Combine like terms: 8 + -3 = 5 5 + -1B = 6 + -2(7.5 + -0.5B) 5 + -1B = 6 + (7.5 * -2 + -0.5B * -2) 5 + -1B = 6 + (-15 + 1B) Combine like terms: 6 + -15 = -9 5 + -1B = -9 + 1B Solving 5 + -1B = -9 + 1B Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-1B' to each side of the equation. 5 + -1B + -1B = -9 + 1B + -1B Combine like terms: -1B + -1B = -2B 5 + -2B = -9 + 1B + -1B Combine like terms: 1B + -1B = 0 5 + -2B = -9 + 0 5 + -2B = -9 Add '-5' to each side of the equation. 5 + -5 + -2B = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -2B = -9 + -5 -2B = -9 + -5 Combine like terms: -9 + -5 = -14 -2B = -14 Divide each side by '-2'. B = 7 Simplifying B = 7
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