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Simplifying 15a + 20b + 4c + 3c + -2b + -5a = 0 Reorder the terms: 15a + -5a + 20b + -2b + 4c + 3c = 0 Combine like terms: 15a + -5a = 10a 10a + 20b + -2b + 4c + 3c = 0 Combine like terms: 20b + -2b = 18b 10a + 18b + 4c + 3c = 0 Combine like terms: 4c + 3c = 7c 10a + 18b + 7c = 0 Solving 10a + 18b + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18b' to each side of the equation. 10a + 18b + -18b + 7c = 0 + -18b Combine like terms: 18b + -18b = 0 10a + 0 + 7c = 0 + -18b 10a + 7c = 0 + -18b Remove the zero: 10a + 7c = -18b Add '-7c' to each side of the equation. 10a + 7c + -7c = -18b + -7c Combine like terms: 7c + -7c = 0 10a + 0 = -18b + -7c 10a = -18b + -7c Divide each side by '10'. a = -1.8b + -0.7c Simplifying a = -1.8b + -0.7c
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