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Simplifying (2xy + 9b + c + 10) + -1(xy + b + 6c + 8) = 0 Reorder the terms: (10 + 9b + c + 2xy) + -1(xy + b + 6c + 8) = 0 Remove parenthesis around (10 + 9b + c + 2xy) 10 + 9b + c + 2xy + -1(xy + b + 6c + 8) = 0 Reorder the terms: 10 + 9b + c + 2xy + -1(8 + b + 6c + xy) = 0 10 + 9b + c + 2xy + (8 * -1 + b * -1 + 6c * -1 + xy * -1) = 0 10 + 9b + c + 2xy + (-8 + -1b + -6c + -1xy) = 0 Reorder the terms: 10 + -8 + 9b + -1b + c + -6c + 2xy + -1xy = 0 Combine like terms: 10 + -8 = 2 2 + 9b + -1b + c + -6c + 2xy + -1xy = 0 Combine like terms: 9b + -1b = 8b 2 + 8b + c + -6c + 2xy + -1xy = 0 Combine like terms: c + -6c = -5c 2 + 8b + -5c + 2xy + -1xy = 0 Combine like terms: 2xy + -1xy = 1xy 2 + 8b + -5c + 1xy = 0 Solving 2 + 8b + -5c + 1xy = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 8b + -5c + -2 + 1xy = 0 + -2 Reorder the terms: 2 + -2 + 8b + -5c + 1xy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8b + -5c + 1xy = 0 + -2 8b + -5c + 1xy = 0 + -2 Combine like terms: 0 + -2 = -2 8b + -5c + 1xy = -2 Add '5c' to each side of the equation. 8b + -5c + 5c + 1xy = -2 + 5c Combine like terms: -5c + 5c = 0 8b + 0 + 1xy = -2 + 5c 8b + 1xy = -2 + 5c Add '-1xy' to each side of the equation. 8b + 1xy + -1xy = -2 + 5c + -1xy Combine like terms: 1xy + -1xy = 0 8b + 0 = -2 + 5c + -1xy 8b = -2 + 5c + -1xy Divide each side by '8'. b = -0.25 + 0.625c + -0.125xy Simplifying b = -0.25 + 0.625c + -0.125xy
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