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Simplifying a + (a + -4) = (a + -8) + -1(a + 6) Reorder the terms: a + (-4 + a) = (a + -8) + -1(a + 6) Remove parenthesis around (-4 + a) a + -4 + a = (a + -8) + -1(a + 6) Reorder the terms: -4 + a + a = (a + -8) + -1(a + 6) Combine like terms: a + a = 2a -4 + 2a = (a + -8) + -1(a + 6) Reorder the terms: -4 + 2a = (-8 + a) + -1(a + 6) Remove parenthesis around (-8 + a) -4 + 2a = -8 + a + -1(a + 6) Reorder the terms: -4 + 2a = -8 + a + -1(6 + a) -4 + 2a = -8 + a + (6 * -1 + a * -1) -4 + 2a = -8 + a + (-6 + -1a) Reorder the terms: -4 + 2a = -8 + -6 + a + -1a Combine like terms: -8 + -6 = -14 -4 + 2a = -14 + a + -1a Combine like terms: a + -1a = 0 -4 + 2a = -14 + 0 -4 + 2a = -14 Solving -4 + 2a = -14 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2a = -14 + 4 Combine like terms: -4 + 4 = 0 0 + 2a = -14 + 4 2a = -14 + 4 Combine like terms: -14 + 4 = -10 2a = -10 Divide each side by '2'. a = -5 Simplifying a = -5
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