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Simplifying -10(2a + -8b + 6c) = 0 (2a * -10 + -8b * -10 + 6c * -10) = 0 (-20a + 80b + -60c) = 0 Solving -20a + 80b + -60c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-80b' to each side of the equation. -20a + 80b + -80b + -60c = 0 + -80b Combine like terms: 80b + -80b = 0 -20a + 0 + -60c = 0 + -80b -20a + -60c = 0 + -80b Remove the zero: -20a + -60c = -80b Add '60c' to each side of the equation. -20a + -60c + 60c = -80b + 60c Combine like terms: -60c + 60c = 0 -20a + 0 = -80b + 60c -20a = -80b + 60c Divide each side by '-20'. a = 4b + -3c Simplifying a = 4b + -3c
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