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Simplifying 5a + 3 + 4a = -5(a + 5) + -7(5 + -5a) Reorder the terms: 3 + 5a + 4a = -5(a + 5) + -7(5 + -5a) Combine like terms: 5a + 4a = 9a 3 + 9a = -5(a + 5) + -7(5 + -5a) Reorder the terms: 3 + 9a = -5(5 + a) + -7(5 + -5a) 3 + 9a = (5 * -5 + a * -5) + -7(5 + -5a) 3 + 9a = (-25 + -5a) + -7(5 + -5a) 3 + 9a = -25 + -5a + (5 * -7 + -5a * -7) 3 + 9a = -25 + -5a + (-35 + 35a) Reorder the terms: 3 + 9a = -25 + -35 + -5a + 35a Combine like terms: -25 + -35 = -60 3 + 9a = -60 + -5a + 35a Combine like terms: -5a + 35a = 30a 3 + 9a = -60 + 30a Solving 3 + 9a = -60 + 30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30a' to each side of the equation. 3 + 9a + -30a = -60 + 30a + -30a Combine like terms: 9a + -30a = -21a 3 + -21a = -60 + 30a + -30a Combine like terms: 30a + -30a = 0 3 + -21a = -60 + 0 3 + -21a = -60 Add '-3' to each side of the equation. 3 + -3 + -21a = -60 + -3 Combine like terms: 3 + -3 = 0 0 + -21a = -60 + -3 -21a = -60 + -3 Combine like terms: -60 + -3 = -63 -21a = -63 Divide each side by '-21'. a = 3 Simplifying a = 3
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