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Simplifying a + 2v + 5c + 10d = 100 Reorder the terms: a + 5c + 10d + 2v = 100 Solving a + 5c + 10d + 2v = 100 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5c' to each side of the equation. a + 5c + 10d + -5c + 2v = 100 + -5c Reorder the terms: a + 5c + -5c + 10d + 2v = 100 + -5c Combine like terms: 5c + -5c = 0 a + 0 + 10d + 2v = 100 + -5c a + 10d + 2v = 100 + -5c Add '-10d' to each side of the equation. a + 10d + -10d + 2v = 100 + -5c + -10d Combine like terms: 10d + -10d = 0 a + 0 + 2v = 100 + -5c + -10d a + 2v = 100 + -5c + -10d Add '-2v' to each side of the equation. a + 2v + -2v = 100 + -5c + -10d + -2v Combine like terms: 2v + -2v = 0 a + 0 = 100 + -5c + -10d + -2v a = 100 + -5c + -10d + -2v Simplifying a = 100 + -5c + -10d + -2v
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