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Simplifying -3(5a + 4b + 3c) = 0 (5a * -3 + 4b * -3 + 3c * -3) = 0 (-15a + -12b + -9c) = 0 Solving -15a + -12b + -9c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12b' to each side of the equation. -15a + -12b + 12b + -9c = 0 + 12b Combine like terms: -12b + 12b = 0 -15a + 0 + -9c = 0 + 12b -15a + -9c = 0 + 12b Remove the zero: -15a + -9c = 12b Add '9c' to each side of the equation. -15a + -9c + 9c = 12b + 9c Combine like terms: -9c + 9c = 0 -15a + 0 = 12b + 9c -15a = 12b + 9c Divide each side by '-15'. a = -0.8b + -0.6c Simplifying a = -0.8b + -0.6c
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