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Simplifying 8(a + 2) = -2 + 5a Reorder the terms: 8(2 + a) = -2 + 5a (2 * 8 + a * 8) = -2 + 5a (16 + 8a) = -2 + 5a Solving 16 + 8a = -2 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 16 + 8a + -5a = -2 + 5a + -5a Combine like terms: 8a + -5a = 3a 16 + 3a = -2 + 5a + -5a Combine like terms: 5a + -5a = 0 16 + 3a = -2 + 0 16 + 3a = -2 Add '-16' to each side of the equation. 16 + -16 + 3a = -2 + -16 Combine like terms: 16 + -16 = 0 0 + 3a = -2 + -16 3a = -2 + -16 Combine like terms: -2 + -16 = -18 3a = -18 Divide each side by '3'. a = -6 Simplifying a = -6
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