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Simplifying (7a + 3) + (-1a + -5) = 14 Reorder the terms: (3 + 7a) + (-1a + -5) = 14 Remove parenthesis around (3 + 7a) 3 + 7a + (-1a + -5) = 14 Reorder the terms: 3 + 7a + (-5 + -1a) = 14 Remove parenthesis around (-5 + -1a) 3 + 7a + -5 + -1a = 14 Reorder the terms: 3 + -5 + 7a + -1a = 14 Combine like terms: 3 + -5 = -2 -2 + 7a + -1a = 14 Combine like terms: 7a + -1a = 6a -2 + 6a = 14 Solving -2 + 6a = 14 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 6a = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 6a = 14 + 2 6a = 14 + 2 Combine like terms: 14 + 2 = 16 6a = 16 Divide each side by '6'. a = 2.666666667 Simplifying a = 2.666666667
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