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Simplifying a + -2b + 8c + -5d = 18 Solving a + -2b + 8c + -5d = 18 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 + 8c + 2b + -5d = 18 + 2b Reorder the terms: a + -2b + 2b + 8c + -5d = 18 + 2b Combine like terms: -2b + 2b = 0 a + 0 + 8c + -5d = 18 + 2b a + 8c + -5d = 18 + 2b Add '-8c' to each side of the equation. a + 8c + -8c + -5d = 18 + 2b + -8c Combine like terms: 8c + -8c = 0 a + 0 + -5d = 18 + 2b + -8c a + -5d = 18 + 2b + -8c Add '5d' to each side of the equation. a + -5d + 5d = 18 + 2b + -8c + 5d Combine like terms: -5d + 5d = 0 a + 0 = 18 + 2b + -8c + 5d a = 18 + 2b + -8c + 5d Simplifying a = 18 + 2b + -8c + 5d
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