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Simplifying -3c + 7a + 5 + 7b + 2c + b + (-7a) = 0 Reorder the terms: 5 + 7a + (-7a) + 7b + b + -3c + 2c = 0 Combine like terms: 7a + (-7a) = 0 5 + 0 + 7b + b + -3c + 2c = 0 5 + 7b + b + -3c + 2c = 0 Combine like terms: 7b + b = 8b 5 + 8b + -3c + 2c = 0 Combine like terms: -3c + 2c = -1c 5 + 8b + -1c = 0 Solving 5 + 8b + -1c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 8b + -5 + -1c = 0 + -5 Reorder the terms: 5 + -5 + 8b + -1c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8b + -1c = 0 + -5 8b + -1c = 0 + -5 Combine like terms: 0 + -5 = -5 8b + -1c = -5 Add 'c' to each side of the equation. 8b + -1c + c = -5 + c Combine like terms: -1c + c = 0 8b + 0 = -5 + c 8b = -5 + c Divide each side by '8'. b = -0.625 + 0.125c Simplifying b = -0.625 + 0.125c
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