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Simplifying 7(2a + -3b + -1c) = 0 (2a * 7 + -3b * 7 + -1c * 7) = 0 (14a + -21b + -7c) = 0 Solving 14a + -21b + -7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21b' to each side of the equation. 14a + -21b + 21b + -7c = 0 + 21b Combine like terms: -21b + 21b = 0 14a + 0 + -7c = 0 + 21b 14a + -7c = 0 + 21b Remove the zero: 14a + -7c = 21b Add '7c' to each side of the equation. 14a + -7c + 7c = 21b + 7c Combine like terms: -7c + 7c = 0 14a + 0 = 21b + 7c 14a = 21b + 7c Divide each side by '14'. a = 1.5b + 0.5c Simplifying a = 1.5b + 0.5c
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