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Simplifying 8(2a + 3b + -4c) = 0 (2a * 8 + 3b * 8 + -4c * 8) = 0 (16a + 24b + -32c) = 0 Solving 16a + 24b + -32c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24b' to each side of the equation. 16a + 24b + -24b + -32c = 0 + -24b Combine like terms: 24b + -24b = 0 16a + 0 + -32c = 0 + -24b 16a + -32c = 0 + -24b Remove the zero: 16a + -32c = -24b Add '32c' to each side of the equation. 16a + -32c + 32c = -24b + 32c Combine like terms: -32c + 32c = 0 16a + 0 = -24b + 32c 16a = -24b + 32c Divide each side by '16'. a = -1.5b + 2c Simplifying a = -1.5b + 2c
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