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Simplifying (3a + -5b + c) + -1(4a + -5b + 6c) = 0 Remove parenthesis around (3a + -5b + c) 3a + -5b + c + -1(4a + -5b + 6c) = 0 3a + -5b + c + (4a * -1 + -5b * -1 + 6c * -1) = 0 3a + -5b + c + (-4a + 5b + -6c) = 0 Reorder the terms: 3a + -4a + -5b + 5b + c + -6c = 0 Combine like terms: 3a + -4a = -1a -1a + -5b + 5b + c + -6c = 0 Combine like terms: -5b + 5b = 0 -1a + 0 + c + -6c = 0 -1a + c + -6c = 0 Combine like terms: c + -6c = -5c -1a + -5c = 0 Solving -1a + -5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5c' to each side of the equation. -1a + -5c + 5c = 0 + 5c Combine like terms: -5c + 5c = 0 -1a + 0 = 0 + 5c -1a = 0 + 5c Remove the zero: -1a = 5c Divide each side by '-1'. a = -5c Simplifying a = -5c
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