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Simplifying -3b + 5c + -2(b + -2a) + -13a + -3c = 0 Reorder the terms: -3b + 5c + -2(-2a + b) + -13a + -3c = 0 -3b + 5c + (-2a * -2 + b * -2) + -13a + -3c = 0 -3b + 5c + (4a + -2b) + -13a + -3c = 0 Reorder the terms: 4a + -13a + -3b + -2b + 5c + -3c = 0 Combine like terms: 4a + -13a = -9a -9a + -3b + -2b + 5c + -3c = 0 Combine like terms: -3b + -2b = -5b -9a + -5b + 5c + -3c = 0 Combine like terms: 5c + -3c = 2c -9a + -5b + 2c = 0 Solving -9a + -5b + 2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. -9a + -5b + 5b + 2c = 0 + 5b Combine like terms: -5b + 5b = 0 -9a + 0 + 2c = 0 + 5b -9a + 2c = 0 + 5b Remove the zero: -9a + 2c = 5b Add '-2c' to each side of the equation. -9a + 2c + -2c = 5b + -2c Combine like terms: 2c + -2c = 0 -9a + 0 = 5b + -2c -9a = 5b + -2c Divide each side by '-9'. a = -0.5555555556b + 0.2222222222c Simplifying a = -0.5555555556b + 0.2222222222c
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