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Simplifying 2(a + 1) * 2 + 3(a + 1) + -2 = 0 Reorder the terms: 2(1 + a) * 2 + 3(a + 1) + -2 = 0 Reorder the terms for easier multiplication: 2 * 2(1 + a) + 3(a + 1) + -2 = 0 Multiply 2 * 2 4(1 + a) + 3(a + 1) + -2 = 0 (1 * 4 + a * 4) + 3(a + 1) + -2 = 0 (4 + 4a) + 3(a + 1) + -2 = 0 Reorder the terms: 4 + 4a + 3(1 + a) + -2 = 0 4 + 4a + (1 * 3 + a * 3) + -2 = 0 4 + 4a + (3 + 3a) + -2 = 0 Reorder the terms: 4 + 3 + -2 + 4a + 3a = 0 Combine like terms: 4 + 3 = 7 7 + -2 + 4a + 3a = 0 Combine like terms: 7 + -2 = 5 5 + 4a + 3a = 0 Combine like terms: 4a + 3a = 7a 5 + 7a = 0 Solving 5 + 7a = 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 + 7a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7a = 0 + -5 7a = 0 + -5 Combine like terms: 0 + -5 = -5 7a = -5 Divide each side by '7'. a = -0.7142857143 Simplifying a = -0.7142857143
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