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Simplifying 2(a + 8) + 8(a + -2) = 2a + -8a Reorder the terms: 2(8 + a) + 8(a + -2) = 2a + -8a (8 * 2 + a * 2) + 8(a + -2) = 2a + -8a (16 + 2a) + 8(a + -2) = 2a + -8a Reorder the terms: 16 + 2a + 8(-2 + a) = 2a + -8a 16 + 2a + (-2 * 8 + a * 8) = 2a + -8a 16 + 2a + (-16 + 8a) = 2a + -8a Reorder the terms: 16 + -16 + 2a + 8a = 2a + -8a Combine like terms: 16 + -16 = 0 0 + 2a + 8a = 2a + -8a 2a + 8a = 2a + -8a Combine like terms: 2a + 8a = 10a 10a = 2a + -8a Combine like terms: 2a + -8a = -6a 10a = -6a Solving 10a = -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 10a + 6a = -6a + 6a Combine like terms: 10a + 6a = 16a 16a = -6a + 6a Combine like terms: -6a + 6a = 0 16a = 0 Divide each side by '16'. a = 0 Simplifying a = 0
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