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Simplifying a + 5b + 10c + 25d = 48 Solving a + 5b + 10c + 25d = 48 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. a + 5b + 10c + -5b + 25d = 48 + -5b Reorder the terms: a + 5b + -5b + 10c + 25d = 48 + -5b Combine like terms: 5b + -5b = 0 a + 0 + 10c + 25d = 48 + -5b a + 10c + 25d = 48 + -5b Add '-10c' to each side of the equation. a + 10c + -10c + 25d = 48 + -5b + -10c Combine like terms: 10c + -10c = 0 a + 0 + 25d = 48 + -5b + -10c a + 25d = 48 + -5b + -10c Add '-25d' to each side of the equation. a + 25d + -25d = 48 + -5b + -10c + -25d Combine like terms: 25d + -25d = 0 a + 0 = 48 + -5b + -10c + -25d a = 48 + -5b + -10c + -25d Simplifying a = 48 + -5b + -10c + -25d
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