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Simplifying a + 2b + 5c + 6d + 8e = 977 Solving a + 2b + 5c + 6d + 8e = 977 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 + 5c + 6d + -2b + 8e = 977 + -2b Reorder the terms: a + 2b + -2b + 5c + 6d + 8e = 977 + -2b Combine like terms: 2b + -2b = 0 a + 0 + 5c + 6d + 8e = 977 + -2b a + 5c + 6d + 8e = 977 + -2b Add '-5c' to each side of the equation. a + 5c + 6d + -5c + 8e = 977 + -2b + -5c Reorder the terms: a + 5c + -5c + 6d + 8e = 977 + -2b + -5c Combine like terms: 5c + -5c = 0 a + 0 + 6d + 8e = 977 + -2b + -5c a + 6d + 8e = 977 + -2b + -5c Add '-6d' to each side of the equation. a + 6d + -6d + 8e = 977 + -2b + -5c + -6d Combine like terms: 6d + -6d = 0 a + 0 + 8e = 977 + -2b + -5c + -6d a + 8e = 977 + -2b + -5c + -6d Add '-8e' to each side of the equation. a + 8e + -8e = 977 + -2b + -5c + -6d + -8e Combine like terms: 8e + -8e = 0 a + 0 = 977 + -2b + -5c + -6d + -8e a = 977 + -2b + -5c + -6d + -8e Simplifying a = 977 + -2b + -5c + -6d + -8e
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