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Simplifying 9a + -10a + 3b + 2b + -4c + 7c = 0 Combine like terms: 9a + -10a = -1a -1a + 3b + 2b + -4c + 7c = 0 Combine like terms: 3b + 2b = 5b -1a + 5b + -4c + 7c = 0 Combine like terms: -4c + 7c = 3c -1a + 5b + 3c = 0 Solving -1a + 5b + 3c = 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. -1a + 5b + -5b + 3c = 0 + -5b Combine like terms: 5b + -5b = 0 -1a + 0 + 3c = 0 + -5b -1a + 3c = 0 + -5b Remove the zero: -1a + 3c = -5b Add '-3c' to each side of the equation. -1a + 3c + -3c = -5b + -3c Combine like terms: 3c + -3c = 0 -1a + 0 = -5b + -3c -1a = -5b + -3c Divide each side by '-1'. a = 5b + 3c Simplifying a = 5b + 3c
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