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Simplifying 5(7 + -1a) = -3(3a + 3) (7 * 5 + -1a * 5) = -3(3a + 3) (35 + -5a) = -3(3a + 3) Reorder the terms: 35 + -5a = -3(3 + 3a) 35 + -5a = (3 * -3 + 3a * -3) 35 + -5a = (-9 + -9a) Solving 35 + -5a = -9 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. 35 + -5a + 9a = -9 + -9a + 9a Combine like terms: -5a + 9a = 4a 35 + 4a = -9 + -9a + 9a Combine like terms: -9a + 9a = 0 35 + 4a = -9 + 0 35 + 4a = -9 Add '-35' to each side of the equation. 35 + -35 + 4a = -9 + -35 Combine like terms: 35 + -35 = 0 0 + 4a = -9 + -35 4a = -9 + -35 Combine like terms: -9 + -35 = -44 4a = -44 Divide each side by '4'. a = -11 Simplifying a = -11
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