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Simplifying (a * 2) + (a + 4) = 14a + -14 Reorder the terms for easier multiplication: (2a) + (a + 4) = 14a + -14 Reorder the terms: (2a) + (4 + a) = 14a + -14 Remove parenthesis around (4 + a) (2a) + 4 + a = 14a + -14 Reorder the terms: 4 + (2a) + a = 14a + -14 Combine like terms: (2a) + a = 3a 4 + 3a = 14a + -14 Reorder the terms: 4 + 3a = -14 + 14a Solving 4 + 3a = -14 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 4 + 3a + -14a = -14 + 14a + -14a Combine like terms: 3a + -14a = -11a 4 + -11a = -14 + 14a + -14a Combine like terms: 14a + -14a = 0 4 + -11a = -14 + 0 4 + -11a = -14 Add '-4' to each side of the equation. 4 + -4 + -11a = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -11a = -14 + -4 -11a = -14 + -4 Combine like terms: -14 + -4 = -18 -11a = -18 Divide each side by '-11'. a = 1.636363636 Simplifying a = 1.636363636
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