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Simplifying 3(2a + 5) + -5(a + -2) = 0 Reorder the terms: 3(5 + 2a) + -5(a + -2) = 0 (5 * 3 + 2a * 3) + -5(a + -2) = 0 (15 + 6a) + -5(a + -2) = 0 Reorder the terms: 15 + 6a + -5(-2 + a) = 0 15 + 6a + (-2 * -5 + a * -5) = 0 15 + 6a + (10 + -5a) = 0 Reorder the terms: 15 + 10 + 6a + -5a = 0 Combine like terms: 15 + 10 = 25 25 + 6a + -5a = 0 Combine like terms: 6a + -5a = 1a 25 + 1a = 0 Solving 25 + 1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 1a = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 1a = 0 + -25 1a = 0 + -25 Combine like terms: 0 + -25 = -25 1a = -25 Divide each side by '1'. a = -25 Simplifying a = -25
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