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Simplifying a + 2b + 3c + 4d + 5e = 6 Solving a + 2b + 3c + 4d + 5e = 6 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. a + 2b + 3c + 4d + -2b + 5e = 6 + -2b Reorder the terms: a + 2b + -2b + 3c + 4d + 5e = 6 + -2b Combine like terms: 2b + -2b = 0 a + 0 + 3c + 4d + 5e = 6 + -2b a + 3c + 4d + 5e = 6 + -2b Add '-3c' to each side of the equation. a + 3c + 4d + -3c + 5e = 6 + -2b + -3c Reorder the terms: a + 3c + -3c + 4d + 5e = 6 + -2b + -3c Combine like terms: 3c + -3c = 0 a + 0 + 4d + 5e = 6 + -2b + -3c a + 4d + 5e = 6 + -2b + -3c Add '-4d' to each side of the equation. a + 4d + -4d + 5e = 6 + -2b + -3c + -4d Combine like terms: 4d + -4d = 0 a + 0 + 5e = 6 + -2b + -3c + -4d a + 5e = 6 + -2b + -3c + -4d Add '-5e' to each side of the equation. a + 5e + -5e = 6 + -2b + -3c + -4d + -5e Combine like terms: 5e + -5e = 0 a + 0 = 6 + -2b + -3c + -4d + -5e a = 6 + -2b + -3c + -4d + -5e Simplifying a = 6 + -2b + -3c + -4d + -5e
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