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Simplifying 4a + 2 + -3c + 6 + 7c + -3 + -3b + 2a + -5b = 0 Reorder the terms: 2 + 6 + -3 + 4a + 2a + -3b + -5b + -3c + 7c = 0 Combine like terms: 2 + 6 = 8 8 + -3 + 4a + 2a + -3b + -5b + -3c + 7c = 0 Combine like terms: 8 + -3 = 5 5 + 4a + 2a + -3b + -5b + -3c + 7c = 0 Combine like terms: 4a + 2a = 6a 5 + 6a + -3b + -5b + -3c + 7c = 0 Combine like terms: -3b + -5b = -8b 5 + 6a + -8b + -3c + 7c = 0 Combine like terms: -3c + 7c = 4c 5 + 6a + -8b + 4c = 0 Solving 5 + 6a + -8b + 4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 6a + -8b + -5 + 4c = 0 + -5 Reorder the terms: 5 + -5 + 6a + -8b + 4c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6a + -8b + 4c = 0 + -5 6a + -8b + 4c = 0 + -5 Combine like terms: 0 + -5 = -5 6a + -8b + 4c = -5 Add '8b' to each side of the equation. 6a + -8b + 8b + 4c = -5 + 8b Combine like terms: -8b + 8b = 0 6a + 0 + 4c = -5 + 8b 6a + 4c = -5 + 8b Add '-4c' to each side of the equation. 6a + 4c + -4c = -5 + 8b + -4c Combine like terms: 4c + -4c = 0 6a + 0 = -5 + 8b + -4c 6a = -5 + 8b + -4c Divide each side by '6'. a = -0.8333333333 + 1.333333333b + -0.6666666667c Simplifying a = -0.8333333333 + 1.333333333b + -0.6666666667c
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