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Simplifying a + -2 = -8a + -2(1 + 8a) Reorder the terms: -2 + a = -8a + -2(1 + 8a) -2 + a = -8a + (1 * -2 + 8a * -2) -2 + a = -8a + (-2 + -16a) Reorder the terms: -2 + a = -2 + -8a + -16a Combine like terms: -8a + -16a = -24a -2 + a = -2 + -24a Add '2' to each side of the equation. -2 + 2 + a = -2 + 2 + -24a Combine like terms: -2 + 2 = 0 0 + a = -2 + 2 + -24a a = -2 + 2 + -24a Combine like terms: -2 + 2 = 0 a = 0 + -24a a = -24a Solving a = -24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24a' to each side of the equation. a + 24a = -24a + 24a Combine like terms: a + 24a = 25a 25a = -24a + 24a Combine like terms: -24a + 24a = 0 25a = 0 Divide each side by '25'. a = 0 Simplifying a = 0
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