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Simplifying a + (a + -2) = (a + -8) + -1(a + 6) Reorder the terms: a + (-2 + a) = (a + -8) + -1(a + 6) Remove parenthesis around (-2 + a) a + -2 + a = (a + -8) + -1(a + 6) Reorder the terms: -2 + a + a = (a + -8) + -1(a + 6) Combine like terms: a + a = 2a -2 + 2a = (a + -8) + -1(a + 6) Reorder the terms: -2 + 2a = (-8 + a) + -1(a + 6) Remove parenthesis around (-8 + a) -2 + 2a = -8 + a + -1(a + 6) Reorder the terms: -2 + 2a = -8 + a + -1(6 + a) -2 + 2a = -8 + a + (6 * -1 + a * -1) -2 + 2a = -8 + a + (-6 + -1a) Reorder the terms: -2 + 2a = -8 + -6 + a + -1a Combine like terms: -8 + -6 = -14 -2 + 2a = -14 + a + -1a Combine like terms: a + -1a = 0 -2 + 2a = -14 + 0 -2 + 2a = -14 Solving -2 + 2a = -14 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2a = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 2a = -14 + 2 2a = -14 + 2 Combine like terms: -14 + 2 = -12 2a = -12 Divide each side by '2'. a = -6 Simplifying a = -6
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