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Simplifying -8(a + -4b + -7c) = 0 (a * -8 + -4b * -8 + -7c * -8) = 0 (-8a + 32b + 56c) = 0 Solving -8a + 32b + 56c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32b' to each side of the equation. -8a + 32b + -32b + 56c = 0 + -32b Combine like terms: 32b + -32b = 0 -8a + 0 + 56c = 0 + -32b -8a + 56c = 0 + -32b Remove the zero: -8a + 56c = -32b Add '-56c' to each side of the equation. -8a + 56c + -56c = -32b + -56c Combine like terms: 56c + -56c = 0 -8a + 0 = -32b + -56c -8a = -32b + -56c Divide each side by '-8'. a = 4b + 7c Simplifying a = 4b + 7c
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