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Simplifying -15(2a + -9b + 8c) = 0 (2a * -15 + -9b * -15 + 8c * -15) = 0 (-30a + 135b + -120c) = 0 Solving -30a + 135b + -120c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-135b' to each side of the equation. -30a + 135b + -135b + -120c = 0 + -135b Combine like terms: 135b + -135b = 0 -30a + 0 + -120c = 0 + -135b -30a + -120c = 0 + -135b Remove the zero: -30a + -120c = -135b Add '120c' to each side of the equation. -30a + -120c + 120c = -135b + 120c Combine like terms: -120c + 120c = 0 -30a + 0 = -135b + 120c -30a = -135b + 120c Divide each side by '-30'. a = 4.5b + -4c Simplifying a = 4.5b + -4c
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