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Simplifying 14 + 2a = -2(a + 7) Reorder the terms: 14 + 2a = -2(7 + a) 14 + 2a = (7 * -2 + a * -2) 14 + 2a = (-14 + -2a) Solving 14 + 2a = -14 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 14 + 2a + 2a = -14 + -2a + 2a Combine like terms: 2a + 2a = 4a 14 + 4a = -14 + -2a + 2a Combine like terms: -2a + 2a = 0 14 + 4a = -14 + 0 14 + 4a = -14 Add '-14' to each side of the equation. 14 + -14 + 4a = -14 + -14 Combine like terms: 14 + -14 = 0 0 + 4a = -14 + -14 4a = -14 + -14 Combine like terms: -14 + -14 = -28 4a = -28 Divide each side by '4'. a = -7 Simplifying a = -7
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