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Simplifying -7(a + -4b + -9c) = 0 (a * -7 + -4b * -7 + -9c * -7) = 0 (-7a + 28b + 63c) = 0 Solving -7a + 28b + 63c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28b' to each side of the equation. -7a + 28b + -28b + 63c = 0 + -28b Combine like terms: 28b + -28b = 0 -7a + 0 + 63c = 0 + -28b -7a + 63c = 0 + -28b Remove the zero: -7a + 63c = -28b Add '-63c' to each side of the equation. -7a + 63c + -63c = -28b + -63c Combine like terms: 63c + -63c = 0 -7a + 0 = -28b + -63c -7a = -28b + -63c Divide each side by '-7'. a = 4b + 9c Simplifying a = 4b + 9c
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