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Simplifying (-1b + -1c + 8) + (7b + -7c + -1b) = 0 Reorder the terms: (8 + -1b + -1c) + (7b + -7c + -1b) = 0 Remove parenthesis around (8 + -1b + -1c) 8 + -1b + -1c + (7b + -7c + -1b) = 0 Reorder the terms: 8 + -1b + -1c + (7b + -1b + -7c) = 0 Combine like terms: 7b + -1b = 6b 8 + -1b + -1c + (6b + -7c) = 0 Remove parenthesis around (6b + -7c) 8 + -1b + -1c + 6b + -7c = 0 Reorder the terms: 8 + -1b + 6b + -1c + -7c = 0 Combine like terms: -1b + 6b = 5b 8 + 5b + -1c + -7c = 0 Combine like terms: -1c + -7c = -8c 8 + 5b + -8c = 0 Solving 8 + 5b + -8c = 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 + 5b + -8 + -8c = 0 + -8 Reorder the terms: 8 + -8 + 5b + -8c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5b + -8c = 0 + -8 5b + -8c = 0 + -8 Combine like terms: 0 + -8 = -8 5b + -8c = -8 Add '8c' to each side of the equation. 5b + -8c + 8c = -8 + 8c Combine like terms: -8c + 8c = 0 5b + 0 = -8 + 8c 5b = -8 + 8c Divide each side by '5'. b = -1.6 + 1.6c Simplifying b = -1.6 + 1.6c
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