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Simplifying 7a + 4 = -2a + -14 Reorder the terms: 4 + 7a = -2a + -14 Reorder the terms: 4 + 7a = -14 + -2a Solving 4 + 7a = -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. 4 + 7a + 2a = -14 + -2a + 2a Combine like terms: 7a + 2a = 9a 4 + 9a = -14 + -2a + 2a Combine like terms: -2a + 2a = 0 4 + 9a = -14 + 0 4 + 9a = -14 Add '-4' to each side of the equation. 4 + -4 + 9a = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 9a = -14 + -4 9a = -14 + -4 Combine like terms: -14 + -4 = -18 9a = -18 Divide each side by '9'. a = -2 Simplifying a = -2
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