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Simplifying 5a + 3b + c + -2a + 5 = 0 Reorder the terms: 5 + 5a + -2a + 3b + c = 0 Combine like terms: 5a + -2a = 3a 5 + 3a + 3b + c = 0 Solving 5 + 3a + 3b + c = 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 + 3a + 3b + -5 + c = 0 + -5 Reorder the terms: 5 + -5 + 3a + 3b + c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3a + 3b + c = 0 + -5 3a + 3b + c = 0 + -5 Combine like terms: 0 + -5 = -5 3a + 3b + c = -5 Add '-3b' to each side of the equation. 3a + 3b + -3b + c = -5 + -3b Combine like terms: 3b + -3b = 0 3a + 0 + c = -5 + -3b 3a + c = -5 + -3b Add '-1c' to each side of the equation. 3a + c + -1c = -5 + -3b + -1c Combine like terms: c + -1c = 0 3a + 0 = -5 + -3b + -1c 3a = -5 + -3b + -1c Divide each side by '3'. a = -1.666666667 + -1b + -0.3333333333c Simplifying a = -1.666666667 + -1b + -0.3333333333c
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