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Simplifying (4 + 2b) + (8 + 3c) = 0 Remove parenthesis around (4 + 2b) 4 + 2b + (8 + 3c) = 0 Remove parenthesis around (8 + 3c) 4 + 2b + 8 + 3c = 0 Reorder the terms: 4 + 8 + 2b + 3c = 0 Combine like terms: 4 + 8 = 12 12 + 2b + 3c = 0 Solving 12 + 2b + 3c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 2b + -12 + 3c = 0 + -12 Reorder the terms: 12 + -12 + 2b + 3c = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2b + 3c = 0 + -12 2b + 3c = 0 + -12 Combine like terms: 0 + -12 = -12 2b + 3c = -12 Add '-3c' to each side of the equation. 2b + 3c + -3c = -12 + -3c Combine like terms: 3c + -3c = 0 2b + 0 = -12 + -3c 2b = -12 + -3c Divide each side by '2'. b = -6 + -1.5c Simplifying b = -6 + -1.5c
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