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Simplifying 5a + (2a + -5) + -1(a + -3) = 16 Reorder the terms: 5a + (-5 + 2a) + -1(a + -3) = 16 Remove parenthesis around (-5 + 2a) 5a + -5 + 2a + -1(a + -3) = 16 Reorder the terms: 5a + -5 + 2a + -1(-3 + a) = 16 5a + -5 + 2a + (-3 * -1 + a * -1) = 16 5a + -5 + 2a + (3 + -1a) = 16 Reorder the terms: -5 + 3 + 5a + 2a + -1a = 16 Combine like terms: -5 + 3 = -2 -2 + 5a + 2a + -1a = 16 Combine like terms: 5a + 2a = 7a -2 + 7a + -1a = 16 Combine like terms: 7a + -1a = 6a -2 + 6a = 16 Solving -2 + 6a = 16 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 = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 6a = 16 + 2 6a = 16 + 2 Combine like terms: 16 + 2 = 18 6a = 18 Divide each side by '6'. a = 3 Simplifying a = 3
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