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Simplifying -8 + 3(a + -1) = -3a + 31 Reorder the terms: -8 + 3(-1 + a) = -3a + 31 -8 + (-1 * 3 + a * 3) = -3a + 31 -8 + (-3 + 3a) = -3a + 31 Combine like terms: -8 + -3 = -11 -11 + 3a = -3a + 31 Reorder the terms: -11 + 3a = 31 + -3a Solving -11 + 3a = 31 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -11 + 3a + 3a = 31 + -3a + 3a Combine like terms: 3a + 3a = 6a -11 + 6a = 31 + -3a + 3a Combine like terms: -3a + 3a = 0 -11 + 6a = 31 + 0 -11 + 6a = 31 Add '11' to each side of the equation. -11 + 11 + 6a = 31 + 11 Combine like terms: -11 + 11 = 0 0 + 6a = 31 + 11 6a = 31 + 11 Combine like terms: 31 + 11 = 42 6a = 42 Divide each side by '6'. a = 7 Simplifying a = 7
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