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Simplifying 2(a + -4) + 3a = 3a + -2 Reorder the terms: 2(-4 + a) + 3a = 3a + -2 (-4 * 2 + a * 2) + 3a = 3a + -2 (-8 + 2a) + 3a = 3a + -2 Combine like terms: 2a + 3a = 5a -8 + 5a = 3a + -2 Reorder the terms: -8 + 5a = -2 + 3a Solving -8 + 5a = -2 + 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. -8 + 5a + -3a = -2 + 3a + -3a Combine like terms: 5a + -3a = 2a -8 + 2a = -2 + 3a + -3a Combine like terms: 3a + -3a = 0 -8 + 2a = -2 + 0 -8 + 2a = -2 Add '8' to each side of the equation. -8 + 8 + 2a = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 2a = -2 + 8 2a = -2 + 8 Combine like terms: -2 + 8 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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