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Simplifying 7 + -1(a + 2) + 4a + -8 = a + -1 Reorder the terms: 7 + -1(2 + a) + 4a + -8 = a + -1 7 + (2 * -1 + a * -1) + 4a + -8 = a + -1 7 + (-2 + -1a) + 4a + -8 = a + -1 Reorder the terms: 7 + -2 + -8 + -1a + 4a = a + -1 Combine like terms: 7 + -2 = 5 5 + -8 + -1a + 4a = a + -1 Combine like terms: 5 + -8 = -3 -3 + -1a + 4a = a + -1 Combine like terms: -1a + 4a = 3a -3 + 3a = a + -1 Reorder the terms: -3 + 3a = -1 + a Solving -3 + 3a = -1 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -3 + 3a + -1a = -1 + a + -1a Combine like terms: 3a + -1a = 2a -3 + 2a = -1 + a + -1a Combine like terms: a + -1a = 0 -3 + 2a = -1 + 0 -3 + 2a = -1 Add '3' to each side of the equation. -3 + 3 + 2a = -1 + 3 Combine like terms: -3 + 3 = 0 0 + 2a = -1 + 3 2a = -1 + 3 Combine like terms: -1 + 3 = 2 2a = 2 Divide each side by '2'. a = 1 Simplifying a = 1
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