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Simplifying -1(2a + 4b + 6c + 8) = 0 Reorder the terms: -1(8 + 2a + 4b + 6c) = 0 (8 * -1 + 2a * -1 + 4b * -1 + 6c * -1) = 0 (-8 + -2a + -4b + -6c) = 0 Solving -8 + -2a + -4b + -6c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -2a + -4b + 8 + -6c = 0 + 8 Reorder the terms: -8 + 8 + -2a + -4b + -6c = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2a + -4b + -6c = 0 + 8 -2a + -4b + -6c = 0 + 8 Combine like terms: 0 + 8 = 8 -2a + -4b + -6c = 8 Add '4b' to each side of the equation. -2a + -4b + 4b + -6c = 8 + 4b Combine like terms: -4b + 4b = 0 -2a + 0 + -6c = 8 + 4b -2a + -6c = 8 + 4b Add '6c' to each side of the equation. -2a + -6c + 6c = 8 + 4b + 6c Combine like terms: -6c + 6c = 0 -2a + 0 = 8 + 4b + 6c -2a = 8 + 4b + 6c Divide each side by '-2'. a = -4 + -2b + -3c Simplifying a = -4 + -2b + -3c
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