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Simplifying (2a + -3b) + (2c + -5a) = 0 Remove parenthesis around (2a + -3b) 2a + -3b + (2c + -5a) = 0 Reorder the terms: 2a + -3b + (-5a + 2c) = 0 Remove parenthesis around (-5a + 2c) 2a + -3b + -5a + 2c = 0 Reorder the terms: 2a + -5a + -3b + 2c = 0 Combine like terms: 2a + -5a = -3a -3a + -3b + 2c = 0 Solving -3a + -3b + 2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. -3a + -3b + 3b + 2c = 0 + 3b Combine like terms: -3b + 3b = 0 -3a + 0 + 2c = 0 + 3b -3a + 2c = 0 + 3b Remove the zero: -3a + 2c = 3b Add '-2c' to each side of the equation. -3a + 2c + -2c = 3b + -2c Combine like terms: 2c + -2c = 0 -3a + 0 = 3b + -2c -3a = 3b + -2c Divide each side by '-3'. a = -1b + 0.6666666667c Simplifying a = -1b + 0.6666666667c
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