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Simplifying 5a + -3a = 5 + -3(a + 5) Combine like terms: 5a + -3a = 2a 2a = 5 + -3(a + 5) Reorder the terms: 2a = 5 + -3(5 + a) 2a = 5 + (5 * -3 + a * -3) 2a = 5 + (-15 + -3a) Combine like terms: 5 + -15 = -10 2a = -10 + -3a Solving 2a = -10 + -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. 2a + 3a = -10 + -3a + 3a Combine like terms: 2a + 3a = 5a 5a = -10 + -3a + 3a Combine like terms: -3a + 3a = 0 5a = -10 + 0 5a = -10 Divide each side by '5'. a = -2 Simplifying a = -2
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