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Simplifying a + -10b + -1c + 3 + -1a + 9b + -1c = 0 Reorder the terms: 3 + a + -1a + -10b + 9b + -1c + -1c = 0 Combine like terms: a + -1a = 0 3 + 0 + -10b + 9b + -1c + -1c = 0 3 + -10b + 9b + -1c + -1c = 0 Combine like terms: -10b + 9b = -1b 3 + -1b + -1c + -1c = 0 Combine like terms: -1c + -1c = -2c 3 + -1b + -2c = 0 Solving 3 + -1b + -2c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -1b + -3 + -2c = 0 + -3 Reorder the terms: 3 + -3 + -1b + -2c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1b + -2c = 0 + -3 -1b + -2c = 0 + -3 Combine like terms: 0 + -3 = -3 -1b + -2c = -3 Add '2c' to each side of the equation. -1b + -2c + 2c = -3 + 2c Combine like terms: -2c + 2c = 0 -1b + 0 = -3 + 2c -1b = -3 + 2c Divide each side by '-1'. b = 3 + -2c Simplifying b = 3 + -2c
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