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Simplifying 7(a + 2) = 2a + -6 Reorder the terms: 7(2 + a) = 2a + -6 (2 * 7 + a * 7) = 2a + -6 (14 + 7a) = 2a + -6 Reorder the terms: 14 + 7a = -6 + 2a Solving 14 + 7a = -6 + 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 + 7a + -2a = -6 + 2a + -2a Combine like terms: 7a + -2a = 5a 14 + 5a = -6 + 2a + -2a Combine like terms: 2a + -2a = 0 14 + 5a = -6 + 0 14 + 5a = -6 Add '-14' to each side of the equation. 14 + -14 + 5a = -6 + -14 Combine like terms: 14 + -14 = 0 0 + 5a = -6 + -14 5a = -6 + -14 Combine like terms: -6 + -14 = -20 5a = -20 Divide each side by '5'. a = -4 Simplifying a = -4
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