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Simplifying 4a + -1b + -6(5a + -7b + 8c) = 0 4a + -1b + (5a * -6 + -7b * -6 + 8c * -6) = 0 4a + -1b + (-30a + 42b + -48c) = 0 Reorder the terms: 4a + -30a + -1b + 42b + -48c = 0 Combine like terms: 4a + -30a = -26a -26a + -1b + 42b + -48c = 0 Combine like terms: -1b + 42b = 41b -26a + 41b + -48c = 0 Solving -26a + 41b + -48c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-41b' to each side of the equation. -26a + 41b + -41b + -48c = 0 + -41b Combine like terms: 41b + -41b = 0 -26a + 0 + -48c = 0 + -41b -26a + -48c = 0 + -41b Remove the zero: -26a + -48c = -41b Add '48c' to each side of the equation. -26a + -48c + 48c = -41b + 48c Combine like terms: -48c + 48c = 0 -26a + 0 = -41b + 48c -26a = -41b + 48c Divide each side by '-26'. a = 1.576923077b + -1.846153846c Simplifying a = 1.576923077b + -1.846153846c
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