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Simplifying (4b + 2) + (2c + 6) = 0 Reorder the terms: (2 + 4b) + (2c + 6) = 0 Remove parenthesis around (2 + 4b) 2 + 4b + (2c + 6) = 0 Reorder the terms: 2 + 4b + (6 + 2c) = 0 Remove parenthesis around (6 + 2c) 2 + 4b + 6 + 2c = 0 Reorder the terms: 2 + 6 + 4b + 2c = 0 Combine like terms: 2 + 6 = 8 8 + 4b + 2c = 0 Solving 8 + 4b + 2c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 4b + -8 + 2c = 0 + -8 Reorder the terms: 8 + -8 + 4b + 2c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4b + 2c = 0 + -8 4b + 2c = 0 + -8 Combine like terms: 0 + -8 = -8 4b + 2c = -8 Add '-2c' to each side of the equation. 4b + 2c + -2c = -8 + -2c Combine like terms: 2c + -2c = 0 4b + 0 = -8 + -2c 4b = -8 + -2c Divide each side by '4'. b = -2 + -0.5c Simplifying b = -2 + -0.5c
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