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Simplifying 55a + 35b + 10c = 100 Solving 55a + 35b + 10c = 100 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35b' to each side of the equation. 55a + 35b + -35b + 10c = 100 + -35b Combine like terms: 35b + -35b = 0 55a + 0 + 10c = 100 + -35b 55a + 10c = 100 + -35b Add '-10c' to each side of the equation. 55a + 10c + -10c = 100 + -35b + -10c Combine like terms: 10c + -10c = 0 55a + 0 = 100 + -35b + -10c 55a = 100 + -35b + -10c Divide each side by '55'. a = 1.818181818 + -0.6363636364b + -0.1818181818c Simplifying a = 1.818181818 + -0.6363636364b + -0.1818181818c
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