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Simplifying 3a + -4 + 5a + 7 + 2(a + -1) = 0 Reorder the terms: 3a + -4 + 5a + 7 + 2(-1 + a) = 0 3a + -4 + 5a + 7 + (-1 * 2 + a * 2) = 0 3a + -4 + 5a + 7 + (-2 + 2a) = 0 Reorder the terms: -4 + 7 + -2 + 3a + 5a + 2a = 0 Combine like terms: -4 + 7 = 3 3 + -2 + 3a + 5a + 2a = 0 Combine like terms: 3 + -2 = 1 1 + 3a + 5a + 2a = 0 Combine like terms: 3a + 5a = 8a 1 + 8a + 2a = 0 Combine like terms: 8a + 2a = 10a 1 + 10a = 0 Solving 1 + 10a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 10a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10a = 0 + -1 10a = 0 + -1 Combine like terms: 0 + -1 = -1 10a = -1 Divide each side by '10'. a = -0.1 Simplifying a = -0.1
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