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Simplifying 8a + -1(3 + 2a) = 3a + 1 8a + (3 * -1 + 2a * -1) = 3a + 1 8a + (-3 + -2a) = 3a + 1 Reorder the terms: -3 + 8a + -2a = 3a + 1 Combine like terms: 8a + -2a = 6a -3 + 6a = 3a + 1 Reorder the terms: -3 + 6a = 1 + 3a Solving -3 + 6a = 1 + 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. -3 + 6a + -3a = 1 + 3a + -3a Combine like terms: 6a + -3a = 3a -3 + 3a = 1 + 3a + -3a Combine like terms: 3a + -3a = 0 -3 + 3a = 1 + 0 -3 + 3a = 1 Add '3' to each side of the equation. -3 + 3 + 3a = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 3a = 1 + 3 3a = 1 + 3 Combine like terms: 1 + 3 = 4 3a = 4 Divide each side by '3'. a = 1.333333333 Simplifying a = 1.333333333
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