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Simplifying 7a + -8b + 5c + -7a + 5a + -6b + -8a + 12b = 0 Reorder the terms: 7a + -7a + 5a + -8a + -8b + -6b + 12b + 5c = 0 Combine like terms: 7a + -7a = 0 0 + 5a + -8a + -8b + -6b + 12b + 5c = 0 5a + -8a + -8b + -6b + 12b + 5c = 0 Combine like terms: 5a + -8a = -3a -3a + -8b + -6b + 12b + 5c = 0 Combine like terms: -8b + -6b = -14b -3a + -14b + 12b + 5c = 0 Combine like terms: -14b + 12b = -2b -3a + -2b + 5c = 0 Solving -3a + -2b + 5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. -3a + -2b + 2b + 5c = 0 + 2b Combine like terms: -2b + 2b = 0 -3a + 0 + 5c = 0 + 2b -3a + 5c = 0 + 2b Remove the zero: -3a + 5c = 2b Add '-5c' to each side of the equation. -3a + 5c + -5c = 2b + -5c Combine like terms: 5c + -5c = 0 -3a + 0 = 2b + -5c -3a = 2b + -5c Divide each side by '-3'. a = -0.6666666667b + 1.666666667c Simplifying a = -0.6666666667b + 1.666666667c
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