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Simplifying 5(5a + 2) + -1(5a + -2) = 0 Reorder the terms: 5(2 + 5a) + -1(5a + -2) = 0 (2 * 5 + 5a * 5) + -1(5a + -2) = 0 (10 + 25a) + -1(5a + -2) = 0 Reorder the terms: 10 + 25a + -1(-2 + 5a) = 0 10 + 25a + (-2 * -1 + 5a * -1) = 0 10 + 25a + (2 + -5a) = 0 Reorder the terms: 10 + 2 + 25a + -5a = 0 Combine like terms: 10 + 2 = 12 12 + 25a + -5a = 0 Combine like terms: 25a + -5a = 20a 12 + 20a = 0 Solving 12 + 20a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 20a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 20a = 0 + -12 20a = 0 + -12 Combine like terms: 0 + -12 = -12 20a = -12 Divide each side by '20'. a = -0.6 Simplifying a = -0.6
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