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Simplifying 7(a + 2) = 2(2a + -1) Reorder the terms: 7(2 + a) = 2(2a + -1) (2 * 7 + a * 7) = 2(2a + -1) (14 + 7a) = 2(2a + -1) Reorder the terms: 14 + 7a = 2(-1 + 2a) 14 + 7a = (-1 * 2 + 2a * 2) 14 + 7a = (-2 + 4a) Solving 14 + 7a = -2 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 14 + 7a + -4a = -2 + 4a + -4a Combine like terms: 7a + -4a = 3a 14 + 3a = -2 + 4a + -4a Combine like terms: 4a + -4a = 0 14 + 3a = -2 + 0 14 + 3a = -2 Add '-14' to each side of the equation. 14 + -14 + 3a = -2 + -14 Combine like terms: 14 + -14 = 0 0 + 3a = -2 + -14 3a = -2 + -14 Combine like terms: -2 + -14 = -16 3a = -16 Divide each side by '3'. a = -5.333333333 Simplifying a = -5.333333333
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