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Simplifying 3a + 4c + 9c + -7b + -7a + -15c = 0 Reorder the terms: 3a + -7a + -7b + 4c + 9c + -15c = 0 Combine like terms: 3a + -7a = -4a -4a + -7b + 4c + 9c + -15c = 0 Combine like terms: 4c + 9c = 13c -4a + -7b + 13c + -15c = 0 Combine like terms: 13c + -15c = -2c -4a + -7b + -2c = 0 Solving -4a + -7b + -2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. -4a + -7b + 7b + -2c = 0 + 7b Combine like terms: -7b + 7b = 0 -4a + 0 + -2c = 0 + 7b -4a + -2c = 0 + 7b Remove the zero: -4a + -2c = 7b Add '2c' to each side of the equation. -4a + -2c + 2c = 7b + 2c Combine like terms: -2c + 2c = 0 -4a + 0 = 7b + 2c -4a = 7b + 2c Divide each side by '-4'. a = -1.75b + -0.5c Simplifying a = -1.75b + -0.5c
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