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Simplifying 5a + 15 = -5(-3 + 8a) Reorder the terms: 15 + 5a = -5(-3 + 8a) 15 + 5a = (-3 * -5 + 8a * -5) 15 + 5a = (15 + -40a) Add '-15' to each side of the equation. 15 + -15 + 5a = 15 + -15 + -40a Combine like terms: 15 + -15 = 0 0 + 5a = 15 + -15 + -40a 5a = 15 + -15 + -40a Combine like terms: 15 + -15 = 0 5a = 0 + -40a 5a = -40a Solving 5a = -40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40a' to each side of the equation. 5a + 40a = -40a + 40a Combine like terms: 5a + 40a = 45a 45a = -40a + 40a Combine like terms: -40a + 40a = 0 45a = 0 Divide each side by '45'. a = 0 Simplifying a = 0
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