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Simplifying a + 2B + 3C = 501 Reorder the terms: 2B + 3C + a = 501 Solving 2B + 3C + a = 501 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-3C' to each side of the equation. 2B + 3C + -3C + a = 501 + -3C Combine like terms: 3C + -3C = 0 2B + 0 + a = 501 + -3C 2B + a = 501 + -3C Add '-1a' to each side of the equation. 2B + a + -1a = 501 + -3C + -1a Combine like terms: a + -1a = 0 2B + 0 = 501 + -3C + -1a 2B = 501 + -3C + -1a Divide each side by '2'. B = 250.5 + -1.5C + -0.5a Simplifying B = 250.5 + -1.5C + -0.5a
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