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Simplifying a + (a + -8) = (a + -9) + -1(a + 7) Reorder the terms: a + (-8 + a) = (a + -9) + -1(a + 7) Remove parenthesis around (-8 + a) a + -8 + a = (a + -9) + -1(a + 7) Reorder the terms: -8 + a + a = (a + -9) + -1(a + 7) Combine like terms: a + a = 2a -8 + 2a = (a + -9) + -1(a + 7) Reorder the terms: -8 + 2a = (-9 + a) + -1(a + 7) Remove parenthesis around (-9 + a) -8 + 2a = -9 + a + -1(a + 7) Reorder the terms: -8 + 2a = -9 + a + -1(7 + a) -8 + 2a = -9 + a + (7 * -1 + a * -1) -8 + 2a = -9 + a + (-7 + -1a) Reorder the terms: -8 + 2a = -9 + -7 + a + -1a Combine like terms: -9 + -7 = -16 -8 + 2a = -16 + a + -1a Combine like terms: a + -1a = 0 -8 + 2a = -16 + 0 -8 + 2a = -16 Solving -8 + 2a = -16 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2a = -16 + 8 Combine like terms: -8 + 8 = 0 0 + 2a = -16 + 8 2a = -16 + 8 Combine like terms: -16 + 8 = -8 2a = -8 Divide each side by '2'. a = -4 Simplifying a = -4
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