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Simplifying 5(a + 5) + -3 = 3(2 + -1a) Reorder the terms: 5(5 + a) + -3 = 3(2 + -1a) (5 * 5 + a * 5) + -3 = 3(2 + -1a) (25 + 5a) + -3 = 3(2 + -1a) Reorder the terms: 25 + -3 + 5a = 3(2 + -1a) Combine like terms: 25 + -3 = 22 22 + 5a = 3(2 + -1a) 22 + 5a = (2 * 3 + -1a * 3) 22 + 5a = (6 + -3a) Solving 22 + 5a = 6 + -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. 22 + 5a + 3a = 6 + -3a + 3a Combine like terms: 5a + 3a = 8a 22 + 8a = 6 + -3a + 3a Combine like terms: -3a + 3a = 0 22 + 8a = 6 + 0 22 + 8a = 6 Add '-22' to each side of the equation. 22 + -22 + 8a = 6 + -22 Combine like terms: 22 + -22 = 0 0 + 8a = 6 + -22 8a = 6 + -22 Combine like terms: 6 + -22 = -16 8a = -16 Divide each side by '8'. a = -2 Simplifying a = -2
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