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Simplifying 2(a + -4) + 3(a + 2) = 3 Reorder the terms: 2(-4 + a) + 3(a + 2) = 3 (-4 * 2 + a * 2) + 3(a + 2) = 3 (-8 + 2a) + 3(a + 2) = 3 Reorder the terms: -8 + 2a + 3(2 + a) = 3 -8 + 2a + (2 * 3 + a * 3) = 3 -8 + 2a + (6 + 3a) = 3 Reorder the terms: -8 + 6 + 2a + 3a = 3 Combine like terms: -8 + 6 = -2 -2 + 2a + 3a = 3 Combine like terms: 2a + 3a = 5a -2 + 5a = 3 Solving -2 + 5a = 3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5a = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 5a = 3 + 2 5a = 3 + 2 Combine like terms: 3 + 2 = 5 5a = 5 Divide each side by '5'. a = 1 Simplifying a = 1
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