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Simplifying 8 + -1(a + 2) + -4a + -8 = a + 16 Reorder the terms: 8 + -1(2 + a) + -4a + -8 = a + 16 8 + (2 * -1 + a * -1) + -4a + -8 = a + 16 8 + (-2 + -1a) + -4a + -8 = a + 16 Reorder the terms: 8 + -2 + -8 + -1a + -4a = a + 16 Combine like terms: 8 + -2 = 6 6 + -8 + -1a + -4a = a + 16 Combine like terms: 6 + -8 = -2 -2 + -1a + -4a = a + 16 Combine like terms: -1a + -4a = -5a -2 + -5a = a + 16 Reorder the terms: -2 + -5a = 16 + a Solving -2 + -5a = 16 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -2 + -5a + -1a = 16 + a + -1a Combine like terms: -5a + -1a = -6a -2 + -6a = 16 + a + -1a Combine like terms: a + -1a = 0 -2 + -6a = 16 + 0 -2 + -6a = 16 Add '2' to each side of the equation. -2 + 2 + -6a = 16 + 2 Combine like terms: -2 + 2 = 0 0 + -6a = 16 + 2 -6a = 16 + 2 Combine like terms: 16 + 2 = 18 -6a = 18 Divide each side by '-6'. a = -3 Simplifying a = -3
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