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Simplifying 2c + 3b + -4a + -5b + -2b + 3a + -2b + 5c = 0 Reorder the terms: -4a + 3a + 3b + -5b + -2b + -2b + 2c + 5c = 0 Combine like terms: -4a + 3a = -1a -1a + 3b + -5b + -2b + -2b + 2c + 5c = 0 Combine like terms: 3b + -5b = -2b -1a + -2b + -2b + -2b + 2c + 5c = 0 Combine like terms: -2b + -2b = -4b -1a + -4b + -2b + 2c + 5c = 0 Combine like terms: -4b + -2b = -6b -1a + -6b + 2c + 5c = 0 Combine like terms: 2c + 5c = 7c -1a + -6b + 7c = 0 Solving -1a + -6b + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6b' to each side of the equation. -1a + -6b + 6b + 7c = 0 + 6b Combine like terms: -6b + 6b = 0 -1a + 0 + 7c = 0 + 6b -1a + 7c = 0 + 6b Remove the zero: -1a + 7c = 6b Add '-7c' to each side of the equation. -1a + 7c + -7c = 6b + -7c Combine like terms: 7c + -7c = 0 -1a + 0 = 6b + -7c -1a = 6b + -7c Divide each side by '-1'. a = -6b + 7c Simplifying a = -6b + 7c
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