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Simplifying 3a + -1b + -5c = 7 Solving 3a + -1b + -5c = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 3a + -1b + b + -5c = 7 + b Combine like terms: -1b + b = 0 3a + 0 + -5c = 7 + b 3a + -5c = 7 + b Add '5c' to each side of the equation. 3a + -5c + 5c = 7 + b + 5c Combine like terms: -5c + 5c = 0 3a + 0 = 7 + b + 5c 3a = 7 + b + 5c Divide each side by '3'. a = 2.333333333 + 0.3333333333b + 1.666666667c Simplifying a = 2.333333333 + 0.3333333333b + 1.666666667c
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