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Simplifying 5a + 9 = 3(a + -5) + 7 Reorder the terms: 9 + 5a = 3(a + -5) + 7 Reorder the terms: 9 + 5a = 3(-5 + a) + 7 9 + 5a = (-5 * 3 + a * 3) + 7 9 + 5a = (-15 + 3a) + 7 Reorder the terms: 9 + 5a = -15 + 7 + 3a Combine like terms: -15 + 7 = -8 9 + 5a = -8 + 3a Solving 9 + 5a = -8 + 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. 9 + 5a + -3a = -8 + 3a + -3a Combine like terms: 5a + -3a = 2a 9 + 2a = -8 + 3a + -3a Combine like terms: 3a + -3a = 0 9 + 2a = -8 + 0 9 + 2a = -8 Add '-9' to each side of the equation. 9 + -9 + 2a = -8 + -9 Combine like terms: 9 + -9 = 0 0 + 2a = -8 + -9 2a = -8 + -9 Combine like terms: -8 + -9 = -17 2a = -17 Divide each side by '2'. a = -8.5 Simplifying a = -8.5
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