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Simplifying 5a + -15b + -35c = 0 Solving 5a + -15b + -35c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15b' to each side of the equation. 5a + -15b + 15b + -35c = 0 + 15b Combine like terms: -15b + 15b = 0 5a + 0 + -35c = 0 + 15b 5a + -35c = 0 + 15b Remove the zero: 5a + -35c = 15b Add '35c' to each side of the equation. 5a + -35c + 35c = 15b + 35c Combine like terms: -35c + 35c = 0 5a + 0 = 15b + 35c 5a = 15b + 35c Divide each side by '5'. a = 3b + 7c Simplifying a = 3b + 7c
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