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Simplifying 9(2a + 4b + -7c) = 0 (2a * 9 + 4b * 9 + -7c * 9) = 0 (18a + 36b + -63c) = 0 Solving 18a + 36b + -63c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36b' to each side of the equation. 18a + 36b + -36b + -63c = 0 + -36b Combine like terms: 36b + -36b = 0 18a + 0 + -63c = 0 + -36b 18a + -63c = 0 + -36b Remove the zero: 18a + -63c = -36b Add '63c' to each side of the equation. 18a + -63c + 63c = -36b + 63c Combine like terms: -63c + 63c = 0 18a + 0 = -36b + 63c 18a = -36b + 63c Divide each side by '18'. a = -2b + 3.5c Simplifying a = -2b + 3.5c
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