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Simplifying -7(4a + -2b + 7c) = 0 (4a * -7 + -2b * -7 + 7c * -7) = 0 (-28a + 14b + -49c) = 0 Solving -28a + 14b + -49c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. -28a + 14b + -14b + -49c = 0 + -14b Combine like terms: 14b + -14b = 0 -28a + 0 + -49c = 0 + -14b -28a + -49c = 0 + -14b Remove the zero: -28a + -49c = -14b Add '49c' to each side of the equation. -28a + -49c + 49c = -14b + 49c Combine like terms: -49c + 49c = 0 -28a + 0 = -14b + 49c -28a = -14b + 49c Divide each side by '-28'. a = 0.5b + -1.75c Simplifying a = 0.5b + -1.75c
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