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Simplifying 5a + 2b + 3c = 35 Solving 5a + 2b + 3c = 35 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 5a + 2b + -2b + 3c = 35 + -2b Combine like terms: 2b + -2b = 0 5a + 0 + 3c = 35 + -2b 5a + 3c = 35 + -2b Add '-3c' to each side of the equation. 5a + 3c + -3c = 35 + -2b + -3c Combine like terms: 3c + -3c = 0 5a + 0 = 35 + -2b + -3c 5a = 35 + -2b + -3c Divide each side by '5'. a = 7 + -0.4b + -0.6c Simplifying a = 7 + -0.4b + -0.6c
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