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Simplifying 3a + -5b + 4c = 7 Solving 3a + -5b + 4c = 7 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. 3a + -5b + 5b + 4c = 7 + 5b Combine like terms: -5b + 5b = 0 3a + 0 + 4c = 7 + 5b 3a + 4c = 7 + 5b Add '-4c' to each side of the equation. 3a + 4c + -4c = 7 + 5b + -4c Combine like terms: 4c + -4c = 0 3a + 0 = 7 + 5b + -4c 3a = 7 + 5b + -4c Divide each side by '3'. a = 2.333333333 + 1.666666667b + -1.333333333c Simplifying a = 2.333333333 + 1.666666667b + -1.333333333c
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