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Simplifying -2(a + -3) + 3(a + 2) = 4 Reorder the terms: -2(-3 + a) + 3(a + 2) = 4 (-3 * -2 + a * -2) + 3(a + 2) = 4 (6 + -2a) + 3(a + 2) = 4 Reorder the terms: 6 + -2a + 3(2 + a) = 4 6 + -2a + (2 * 3 + a * 3) = 4 6 + -2a + (6 + 3a) = 4 Reorder the terms: 6 + 6 + -2a + 3a = 4 Combine like terms: 6 + 6 = 12 12 + -2a + 3a = 4 Combine like terms: -2a + 3a = 1a 12 + 1a = 4 Solving 12 + 1a = 4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 1a = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 1a = 4 + -12 1a = 4 + -12 Combine like terms: 4 + -12 = -8 1a = -8 Divide each side by '1'. a = -8 Simplifying a = -8
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