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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 = 5 5 + 3a + 5a + 2a = 0 Combine like terms: 3a + 5a = 8a 5 + 8a + 2a = 0 Combine like terms: 8a + 2a = 10a 5 + 10a = 0 Solving 5 + 10a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 10a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 10a = 0 + -5 10a = 0 + -5 Combine like terms: 0 + -5 = -5 10a = -5 Divide each side by '10'. a = -0.5 Simplifying a = -0.5
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