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Simplifying 9a + -5(a + 1) = (a + -3) Reorder the terms: 9a + -5(1 + a) = (a + -3) 9a + (1 * -5 + a * -5) = (a + -3) 9a + (-5 + -5a) = (a + -3) Reorder the terms: -5 + 9a + -5a = (a + -3) Combine like terms: 9a + -5a = 4a -5 + 4a = (a + -3) Reorder the terms: -5 + 4a = (-3 + a) Remove parenthesis around (-3 + a) -5 + 4a = -3 + a Solving -5 + 4a = -3 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -5 + 4a + -1a = -3 + a + -1a Combine like terms: 4a + -1a = 3a -5 + 3a = -3 + a + -1a Combine like terms: a + -1a = 0 -5 + 3a = -3 + 0 -5 + 3a = -3 Add '5' to each side of the equation. -5 + 5 + 3a = -3 + 5 Combine like terms: -5 + 5 = 0 0 + 3a = -3 + 5 3a = -3 + 5 Combine like terms: -3 + 5 = 2 3a = 2 Divide each side by '3'. a = 0.6666666667 Simplifying a = 0.6666666667
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