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Simplifying 2B + (D + 3) + D = 4 + 3B Reorder the terms: 2B + (3 + D) + D = 4 + 3B Remove parenthesis around (3 + D) 2B + 3 + D + D = 4 + 3B Reorder the terms: 3 + 2B + D + D = 4 + 3B Combine like terms: D + D = 2D 3 + 2B + 2D = 4 + 3B Solving 3 + 2B + 2D = 4 + 3B Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-3B' to each side of the equation. 3 + 2B + -3B + 2D = 4 + 3B + -3B Combine like terms: 2B + -3B = -1B 3 + -1B + 2D = 4 + 3B + -3B Combine like terms: 3B + -3B = 0 3 + -1B + 2D = 4 + 0 3 + -1B + 2D = 4 Add '-3' to each side of the equation. 3 + -1B + -3 + 2D = 4 + -3 Reorder the terms: 3 + -3 + -1B + 2D = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -1B + 2D = 4 + -3 -1B + 2D = 4 + -3 Combine like terms: 4 + -3 = 1 -1B + 2D = 1 Add '-2D' to each side of the equation. -1B + 2D + -2D = 1 + -2D Combine like terms: 2D + -2D = 0 -1B + 0 = 1 + -2D -1B = 1 + -2D Divide each side by '-1'. B = -1 + 2D Simplifying B = -1 + 2D
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