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Simplifying 5a + (2a + -5) + (a + -3) = 16 Reorder the terms: 5a + (-5 + 2a) + (a + -3) = 16 Remove parenthesis around (-5 + 2a) 5a + -5 + 2a + (a + -3) = 16 Reorder the terms: 5a + -5 + 2a + (-3 + a) = 16 Remove parenthesis around (-3 + a) 5a + -5 + 2a + -3 + a = 16 Reorder the terms: -5 + -3 + 5a + 2a + a = 16 Combine like terms: -5 + -3 = -8 -8 + 5a + 2a + a = 16 Combine like terms: 5a + 2a = 7a -8 + 7a + a = 16 Combine like terms: 7a + a = 8a -8 + 8a = 16 Solving -8 + 8a = 16 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 8a = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 8a = 16 + 8 8a = 16 + 8 Combine like terms: 16 + 8 = 24 8a = 24 Divide each side by '8'. a = 3 Simplifying a = 3
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