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Simplifying 2(a + 7) + 4a = 2(4a + 2) + -2 Reorder the terms: 2(7 + a) + 4a = 2(4a + 2) + -2 (7 * 2 + a * 2) + 4a = 2(4a + 2) + -2 (14 + 2a) + 4a = 2(4a + 2) + -2 Combine like terms: 2a + 4a = 6a 14 + 6a = 2(4a + 2) + -2 Reorder the terms: 14 + 6a = 2(2 + 4a) + -2 14 + 6a = (2 * 2 + 4a * 2) + -2 14 + 6a = (4 + 8a) + -2 Reorder the terms: 14 + 6a = 4 + -2 + 8a Combine like terms: 4 + -2 = 2 14 + 6a = 2 + 8a Solving 14 + 6a = 2 + 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. 14 + 6a + -8a = 2 + 8a + -8a Combine like terms: 6a + -8a = -2a 14 + -2a = 2 + 8a + -8a Combine like terms: 8a + -8a = 0 14 + -2a = 2 + 0 14 + -2a = 2 Add '-14' to each side of the equation. 14 + -14 + -2a = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -2a = 2 + -14 -2a = 2 + -14 Combine like terms: 2 + -14 = -12 -2a = -12 Divide each side by '-2'. a = 6 Simplifying a = 6
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