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Simplifying 8(a + -5b + -6c) = 0 (a * 8 + -5b * 8 + -6c * 8) = 0 (8a + -40b + -48c) = 0 Solving 8a + -40b + -48c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40b' to each side of the equation. 8a + -40b + 40b + -48c = 0 + 40b Combine like terms: -40b + 40b = 0 8a + 0 + -48c = 0 + 40b 8a + -48c = 0 + 40b Remove the zero: 8a + -48c = 40b Add '48c' to each side of the equation. 8a + -48c + 48c = 40b + 48c Combine like terms: -48c + 48c = 0 8a + 0 = 40b + 48c 8a = 40b + 48c Divide each side by '8'. a = 5b + 6c Simplifying a = 5b + 6c
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