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Simplifying -1(4a + -3b + 7c) = 0 (4a * -1 + -3b * -1 + 7c * -1) = 0 (-4a + 3b + -7c) = 0 Solving -4a + 3b + -7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. -4a + 3b + -3b + -7c = 0 + -3b Combine like terms: 3b + -3b = 0 -4a + 0 + -7c = 0 + -3b -4a + -7c = 0 + -3b Remove the zero: -4a + -7c = -3b Add '7c' to each side of the equation. -4a + -7c + 7c = -3b + 7c Combine like terms: -7c + 7c = 0 -4a + 0 = -3b + 7c -4a = -3b + 7c Divide each side by '-4'. a = 0.75b + -1.75c Simplifying a = 0.75b + -1.75c
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