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Simplifying -15a + 3b + 7c + -15a + -5b + -4c = 0 Reorder the terms: -15a + -15a + 3b + -5b + 7c + -4c = 0 Combine like terms: -15a + -15a = -30a -30a + 3b + -5b + 7c + -4c = 0 Combine like terms: 3b + -5b = -2b -30a + -2b + 7c + -4c = 0 Combine like terms: 7c + -4c = 3c -30a + -2b + 3c = 0 Solving -30a + -2b + 3c = 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. -30a + -2b + 2b + 3c = 0 + 2b Combine like terms: -2b + 2b = 0 -30a + 0 + 3c = 0 + 2b -30a + 3c = 0 + 2b Remove the zero: -30a + 3c = 2b Add '-3c' to each side of the equation. -30a + 3c + -3c = 2b + -3c Combine like terms: 3c + -3c = 0 -30a + 0 = 2b + -3c -30a = 2b + -3c Divide each side by '-30'. a = -0.06666666667b + 0.1c Simplifying a = -0.06666666667b + 0.1c
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