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