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Simplifying 2a + -3b + 4c + 2a + (-3b) = 0 Reorder the terms: 2a + 2a + -3b + (-3b) + 4c = 0 Combine like terms: 2a + 2a = 4a 4a + -3b + (-3b) + 4c = 0 Combine like terms: -3b + (-3b) = -6b 4a + -6b + 4c = 0 Solving 4a + -6b + 4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6b' to each side of the equation. 4a + -6b + 6b + 4c = 0 + 6b Combine like terms: -6b + 6b = 0 4a + 0 + 4c = 0 + 6b 4a + 4c = 0 + 6b Remove the zero: 4a + 4c = 6b Add '-4c' to each side of the equation. 4a + 4c + -4c = 6b + -4c Combine like terms: 4c + -4c = 0 4a + 0 = 6b + -4c 4a = 6b + -4c Divide each side by '4'. a = 1.5b + -1c Simplifying a = 1.5b + -1c
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