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Simplifying 3 + -2(a + 2 + a) = 5a + 8 Reorder the terms: 3 + -2(2 + a + a) = 5a + 8 Combine like terms: a + a = 2a 3 + -2(2 + 2a) = 5a + 8 3 + (2 * -2 + 2a * -2) = 5a + 8 3 + (-4 + -4a) = 5a + 8 Combine like terms: 3 + -4 = -1 -1 + -4a = 5a + 8 Reorder the terms: -1 + -4a = 8 + 5a Solving -1 + -4a = 8 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -1 + -4a + -5a = 8 + 5a + -5a Combine like terms: -4a + -5a = -9a -1 + -9a = 8 + 5a + -5a Combine like terms: 5a + -5a = 0 -1 + -9a = 8 + 0 -1 + -9a = 8 Add '1' to each side of the equation. -1 + 1 + -9a = 8 + 1 Combine like terms: -1 + 1 = 0 0 + -9a = 8 + 1 -9a = 8 + 1 Combine like terms: 8 + 1 = 9 -9a = 9 Divide each side by '-9'. a = -1 Simplifying a = -1
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