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Simplifying 3x + -10 + 2b + 7n + -5x + -10b + 9 + 9n = 0 Reorder the terms: -10 + 9 + 2b + -10b + 7n + 9n + 3x + -5x = 0 Combine like terms: -10 + 9 = -1 -1 + 2b + -10b + 7n + 9n + 3x + -5x = 0 Combine like terms: 2b + -10b = -8b -1 + -8b + 7n + 9n + 3x + -5x = 0 Combine like terms: 7n + 9n = 16n -1 + -8b + 16n + 3x + -5x = 0 Combine like terms: 3x + -5x = -2x -1 + -8b + 16n + -2x = 0 Solving -1 + -8b + 16n + -2x = 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 + -8b + 16n + 1 + -2x = 0 + 1 Reorder the terms: -1 + 1 + -8b + 16n + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8b + 16n + -2x = 0 + 1 -8b + 16n + -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -8b + 16n + -2x = 1 Add '-16n' to each side of the equation. -8b + 16n + -16n + -2x = 1 + -16n Combine like terms: 16n + -16n = 0 -8b + 0 + -2x = 1 + -16n -8b + -2x = 1 + -16n Add '2x' to each side of the equation. -8b + -2x + 2x = 1 + -16n + 2x Combine like terms: -2x + 2x = 0 -8b + 0 = 1 + -16n + 2x -8b = 1 + -16n + 2x Divide each side by '-8'. b = -0.125 + 2n + -0.25x Simplifying b = -0.125 + 2n + -0.25x
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