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Simplifying (-7b + -2c) + (6b + -3c + -1) = 0 Remove parenthesis around (-7b + -2c) -7b + -2c + (6b + -3c + -1) = 0 Reorder the terms: -7b + -2c + (-1 + 6b + -3c) = 0 Remove parenthesis around (-1 + 6b + -3c) -7b + -2c + -1 + 6b + -3c = 0 Reorder the terms: -1 + -7b + 6b + -2c + -3c = 0 Combine like terms: -7b + 6b = -1b -1 + -1b + -2c + -3c = 0 Combine like terms: -2c + -3c = -5c -1 + -1b + -5c = 0 Solving -1 + -1b + -5c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1b + 1 + -5c = 0 + 1 Reorder the terms: -1 + 1 + -1b + -5c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1b + -5c = 0 + 1 -1b + -5c = 0 + 1 Combine like terms: 0 + 1 = 1 -1b + -5c = 1 Add '5c' to each side of the equation. -1b + -5c + 5c = 1 + 5c Combine like terms: -5c + 5c = 0 -1b + 0 = 1 + 5c -1b = 1 + 5c Divide each side by '-1'. b = -1 + -5c Simplifying b = -1 + -5c
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