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Simplifying -3(a + -5b + -7c) = 0 (a * -3 + -5b * -3 + -7c * -3) = 0 (-3a + 15b + 21c) = 0 Solving -3a + 15b + 21c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15b' to each side of the equation. -3a + 15b + -15b + 21c = 0 + -15b Combine like terms: 15b + -15b = 0 -3a + 0 + 21c = 0 + -15b -3a + 21c = 0 + -15b Remove the zero: -3a + 21c = -15b Add '-21c' to each side of the equation. -3a + 21c + -21c = -15b + -21c Combine like terms: 21c + -21c = 0 -3a + 0 = -15b + -21c -3a = -15b + -21c Divide each side by '-3'. a = 5b + 7c Simplifying a = 5b + 7c
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