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Simplifying 5a + 4b + 3c + 4d + 3e = 0 Solving 5a + 4b + 3c + 4d + 3e = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 5a + 4b + 3c + 4d + -4b + 3e = 0 + -4b Reorder the terms: 5a + 4b + -4b + 3c + 4d + 3e = 0 + -4b Combine like terms: 4b + -4b = 0 5a + 0 + 3c + 4d + 3e = 0 + -4b 5a + 3c + 4d + 3e = 0 + -4b Remove the zero: 5a + 3c + 4d + 3e = -4b Add '-3c' to each side of the equation. 5a + 3c + 4d + -3c + 3e = -4b + -3c Reorder the terms: 5a + 3c + -3c + 4d + 3e = -4b + -3c Combine like terms: 3c + -3c = 0 5a + 0 + 4d + 3e = -4b + -3c 5a + 4d + 3e = -4b + -3c Add '-4d' to each side of the equation. 5a + 4d + -4d + 3e = -4b + -3c + -4d Combine like terms: 4d + -4d = 0 5a + 0 + 3e = -4b + -3c + -4d 5a + 3e = -4b + -3c + -4d Add '-3e' to each side of the equation. 5a + 3e + -3e = -4b + -3c + -4d + -3e Combine like terms: 3e + -3e = 0 5a + 0 = -4b + -3c + -4d + -3e 5a = -4b + -3c + -4d + -3e Divide each side by '5'. a = -0.8b + -0.6c + -0.8d + -0.6e Simplifying a = -0.8b + -0.6c + -0.8d + -0.6e
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