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Simplifying 5a + -1(-3a + -2) + 2(5a + -3) = 0 Reorder the terms: 5a + -1(-2 + -3a) + 2(5a + -3) = 0 5a + (-2 * -1 + -3a * -1) + 2(5a + -3) = 0 5a + (2 + 3a) + 2(5a + -3) = 0 Reorder the terms: 5a + 2 + 3a + 2(-3 + 5a) = 0 5a + 2 + 3a + (-3 * 2 + 5a * 2) = 0 5a + 2 + 3a + (-6 + 10a) = 0 Reorder the terms: 2 + -6 + 5a + 3a + 10a = 0 Combine like terms: 2 + -6 = -4 -4 + 5a + 3a + 10a = 0 Combine like terms: 5a + 3a = 8a -4 + 8a + 10a = 0 Combine like terms: 8a + 10a = 18a -4 + 18a = 0 Solving -4 + 18a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 18a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 18a = 0 + 4 18a = 0 + 4 Combine like terms: 0 + 4 = 4 18a = 4 Divide each side by '18'. a = 0.2222222222 Simplifying a = 0.2222222222
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