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Simplifying 7(3a + -4b + c) = 0 (3a * 7 + -4b * 7 + c * 7) = 0 (21a + -28b + 7c) = 0 Solving 21a + -28b + 7c = 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. 21a + -28b + 28b + 7c = 0 + 28b Combine like terms: -28b + 28b = 0 21a + 0 + 7c = 0 + 28b 21a + 7c = 0 + 28b Remove the zero: 21a + 7c = 28b Add '-7c' to each side of the equation. 21a + 7c + -7c = 28b + -7c Combine like terms: 7c + -7c = 0 21a + 0 = 28b + -7c 21a = 28b + -7c Divide each side by '21'. a = 1.333333333b + -0.3333333333c Simplifying a = 1.333333333b + -0.3333333333c
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