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Simplifying (5c + -2b) + (7 + 9c) = 0 Reorder the terms: (-2b + 5c) + (7 + 9c) = 0 Remove parenthesis around (-2b + 5c) -2b + 5c + (7 + 9c) = 0 Remove parenthesis around (7 + 9c) -2b + 5c + 7 + 9c = 0 Reorder the terms: 7 + -2b + 5c + 9c = 0 Combine like terms: 5c + 9c = 14c 7 + -2b + 14c = 0 Solving 7 + -2b + 14c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -2b + -7 + 14c = 0 + -7 Reorder the terms: 7 + -7 + -2b + 14c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2b + 14c = 0 + -7 -2b + 14c = 0 + -7 Combine like terms: 0 + -7 = -7 -2b + 14c = -7 Add '-14c' to each side of the equation. -2b + 14c + -14c = -7 + -14c Combine like terms: 14c + -14c = 0 -2b + 0 = -7 + -14c -2b = -7 + -14c Divide each side by '-2'. b = 3.5 + 7c Simplifying b = 3.5 + 7c
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