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Simplifying 3a + -2(2a + 1) = 2a + 3 Reorder the terms: 3a + -2(1 + 2a) = 2a + 3 3a + (1 * -2 + 2a * -2) = 2a + 3 3a + (-2 + -4a) = 2a + 3 Reorder the terms: -2 + 3a + -4a = 2a + 3 Combine like terms: 3a + -4a = -1a -2 + -1a = 2a + 3 Reorder the terms: -2 + -1a = 3 + 2a Solving -2 + -1a = 3 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -2 + -1a + -2a = 3 + 2a + -2a Combine like terms: -1a + -2a = -3a -2 + -3a = 3 + 2a + -2a Combine like terms: 2a + -2a = 0 -2 + -3a = 3 + 0 -2 + -3a = 3 Add '2' to each side of the equation. -2 + 2 + -3a = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -3a = 3 + 2 -3a = 3 + 2 Combine like terms: 3 + 2 = 5 -3a = 5 Divide each side by '-3'. a = -1.666666667 Simplifying a = -1.666666667
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