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Simplifying 2(3a + 5) = -5(a + -2) Reorder the terms: 2(5 + 3a) = -5(a + -2) (5 * 2 + 3a * 2) = -5(a + -2) (10 + 6a) = -5(a + -2) Reorder the terms: 10 + 6a = -5(-2 + a) 10 + 6a = (-2 * -5 + a * -5) 10 + 6a = (10 + -5a) Add '-10' to each side of the equation. 10 + -10 + 6a = 10 + -10 + -5a Combine like terms: 10 + -10 = 0 0 + 6a = 10 + -10 + -5a 6a = 10 + -10 + -5a Combine like terms: 10 + -10 = 0 6a = 0 + -5a 6a = -5a Solving 6a = -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 6a + 5a = -5a + 5a Combine like terms: 6a + 5a = 11a 11a = -5a + 5a Combine like terms: -5a + 5a = 0 11a = 0 Divide each side by '11'. a = 0 Simplifying a = 0
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