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Simplifying 3(3a + -5b + -3c) = 0 (3a * 3 + -5b * 3 + -3c * 3) = 0 (9a + -15b + -9c) = 0 Solving 9a + -15b + -9c = 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. 9a + -15b + 15b + -9c = 0 + 15b Combine like terms: -15b + 15b = 0 9a + 0 + -9c = 0 + 15b 9a + -9c = 0 + 15b Remove the zero: 9a + -9c = 15b Add '9c' to each side of the equation. 9a + -9c + 9c = 15b + 9c Combine like terms: -9c + 9c = 0 9a + 0 = 15b + 9c 9a = 15b + 9c Divide each side by '9'. a = 1.666666667b + c Simplifying a = 1.666666667b + c
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