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Simplifying 5s + 10a + 12c = 310 Reorder the terms: 10a + 12c + 5s = 310 Solving 10a + 12c + 5s = 310 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12c' to each side of the equation. 10a + 12c + -12c + 5s = 310 + -12c Combine like terms: 12c + -12c = 0 10a + 0 + 5s = 310 + -12c 10a + 5s = 310 + -12c Add '-5s' to each side of the equation. 10a + 5s + -5s = 310 + -12c + -5s Combine like terms: 5s + -5s = 0 10a + 0 = 310 + -12c + -5s 10a = 310 + -12c + -5s Divide each side by '10'. a = 31 + -1.2c + -0.5s Simplifying a = 31 + -1.2c + -0.5s
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