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Simplifying 1a + 2b + 3c + 4d + 5e = 0 Solving 1a + 2b + 3c + 4d + 5e = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 1a + 2b + 3c + 4d + -2b + 5e = 0 + -2b Reorder the terms: 1a + 2b + -2b + 3c + 4d + 5e = 0 + -2b Combine like terms: 2b + -2b = 0 1a + 0 + 3c + 4d + 5e = 0 + -2b 1a + 3c + 4d + 5e = 0 + -2b Remove the zero: 1a + 3c + 4d + 5e = -2b Add '-3c' to each side of the equation. 1a + 3c + 4d + -3c + 5e = -2b + -3c Reorder the terms: 1a + 3c + -3c + 4d + 5e = -2b + -3c Combine like terms: 3c + -3c = 0 1a + 0 + 4d + 5e = -2b + -3c 1a + 4d + 5e = -2b + -3c Add '-4d' to each side of the equation. 1a + 4d + -4d + 5e = -2b + -3c + -4d Combine like terms: 4d + -4d = 0 1a + 0 + 5e = -2b + -3c + -4d 1a + 5e = -2b + -3c + -4d Add '-5e' to each side of the equation. 1a + 5e + -5e = -2b + -3c + -4d + -5e Combine like terms: 5e + -5e = 0 1a + 0 = -2b + -3c + -4d + -5e 1a = -2b + -3c + -4d + -5e Divide each side by '1'. a = -2b + -3c + -4d + -5e Simplifying a = -2b + -3c + -4d + -5e
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