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Simplifying 17a + 20b + 6c + 6c + -5b + -5a = 0 Reorder the terms: 17a + -5a + 20b + -5b + 6c + 6c = 0 Combine like terms: 17a + -5a = 12a 12a + 20b + -5b + 6c + 6c = 0 Combine like terms: 20b + -5b = 15b 12a + 15b + 6c + 6c = 0 Combine like terms: 6c + 6c = 12c 12a + 15b + 12c = 0 Solving 12a + 15b + 12c = 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. 12a + 15b + -15b + 12c = 0 + -15b Combine like terms: 15b + -15b = 0 12a + 0 + 12c = 0 + -15b 12a + 12c = 0 + -15b Remove the zero: 12a + 12c = -15b Add '-12c' to each side of the equation. 12a + 12c + -12c = -15b + -12c Combine like terms: 12c + -12c = 0 12a + 0 = -15b + -12c 12a = -15b + -12c Divide each side by '12'. a = -1.25b + -1c Simplifying a = -1.25b + -1c
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