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Simplifying 3a + 9b + 10c + 47d = 98773 Solving 3a + 9b + 10c + 47d = 98773 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 3a + 9b + 10c + -9b + 47d = 98773 + -9b Reorder the terms: 3a + 9b + -9b + 10c + 47d = 98773 + -9b Combine like terms: 9b + -9b = 0 3a + 0 + 10c + 47d = 98773 + -9b 3a + 10c + 47d = 98773 + -9b Add '-10c' to each side of the equation. 3a + 10c + -10c + 47d = 98773 + -9b + -10c Combine like terms: 10c + -10c = 0 3a + 0 + 47d = 98773 + -9b + -10c 3a + 47d = 98773 + -9b + -10c Add '-47d' to each side of the equation. 3a + 47d + -47d = 98773 + -9b + -10c + -47d Combine like terms: 47d + -47d = 0 3a + 0 = 98773 + -9b + -10c + -47d 3a = 98773 + -9b + -10c + -47d Divide each side by '3'. a = 32924.33333 + -3b + -3.333333333c + -15.66666667d Simplifying a = 32924.33333 + -3b + -3.333333333c + -15.66666667d
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