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Simplifying a + -7 = 8 + -1(9 + a) Reorder the terms: -7 + a = 8 + -1(9 + a) -7 + a = 8 + (9 * -1 + a * -1) -7 + a = 8 + (-9 + -1a) Combine like terms: 8 + -9 = -1 -7 + a = -1 + -1a Solving -7 + a = -1 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -7 + a + a = -1 + -1a + a Combine like terms: a + a = 2a -7 + 2a = -1 + -1a + a Combine like terms: -1a + a = 0 -7 + 2a = -1 + 0 -7 + 2a = -1 Add '7' to each side of the equation. -7 + 7 + 2a = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 2a = -1 + 7 2a = -1 + 7 Combine like terms: -1 + 7 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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