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Simplifying 9a + 33 + -1(45 + -15a) = (15 + -3a) 9a + 33 + (45 * -1 + -15a * -1) = (15 + -3a) 9a + 33 + (-45 + 15a) = (15 + -3a) Reorder the terms: 33 + -45 + 9a + 15a = (15 + -3a) Combine like terms: 33 + -45 = -12 -12 + 9a + 15a = (15 + -3a) Combine like terms: 9a + 15a = 24a -12 + 24a = (15 + -3a) Remove parenthesis around (15 + -3a) -12 + 24a = 15 + -3a Solving -12 + 24a = 15 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -12 + 24a + 3a = 15 + -3a + 3a Combine like terms: 24a + 3a = 27a -12 + 27a = 15 + -3a + 3a Combine like terms: -3a + 3a = 0 -12 + 27a = 15 + 0 -12 + 27a = 15 Add '12' to each side of the equation. -12 + 12 + 27a = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 27a = 15 + 12 27a = 15 + 12 Combine like terms: 15 + 12 = 27 27a = 27 Divide each side by '27'. a = 1 Simplifying a = 1
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