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Simplifying a + 2b + 3c + 5d + 6f = 95 Solving a + 2b + 3c + 5d + 6f = 95 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 + 5d + -2b + 6f = 95 + -2b Reorder the terms: a + 2b + -2b + 3c + 5d + 6f = 95 + -2b Combine like terms: 2b + -2b = 0 a + 0 + 3c + 5d + 6f = 95 + -2b a + 3c + 5d + 6f = 95 + -2b Add '-3c' to each side of the equation. a + 3c + 5d + -3c + 6f = 95 + -2b + -3c Reorder the terms: a + 3c + -3c + 5d + 6f = 95 + -2b + -3c Combine like terms: 3c + -3c = 0 a + 0 + 5d + 6f = 95 + -2b + -3c a + 5d + 6f = 95 + -2b + -3c Add '-5d' to each side of the equation. a + 5d + -5d + 6f = 95 + -2b + -3c + -5d Combine like terms: 5d + -5d = 0 a + 0 + 6f = 95 + -2b + -3c + -5d a + 6f = 95 + -2b + -3c + -5d Add '-6f' to each side of the equation. a + 6f + -6f = 95 + -2b + -3c + -5d + -6f Combine like terms: 6f + -6f = 0 a + 0 = 95 + -2b + -3c + -5d + -6f a = 95 + -2b + -3c + -5d + -6f Simplifying a = 95 + -2b + -3c + -5d + -6f
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