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Simplifying -3(a + -2) + 4 = a + 12 Reorder the terms: -3(-2 + a) + 4 = a + 12 (-2 * -3 + a * -3) + 4 = a + 12 (6 + -3a) + 4 = a + 12 Reorder the terms: 6 + 4 + -3a = a + 12 Combine like terms: 6 + 4 = 10 10 + -3a = a + 12 Reorder the terms: 10 + -3a = 12 + a Solving 10 + -3a = 12 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 10 + -3a + -1a = 12 + a + -1a Combine like terms: -3a + -1a = -4a 10 + -4a = 12 + a + -1a Combine like terms: a + -1a = 0 10 + -4a = 12 + 0 10 + -4a = 12 Add '-10' to each side of the equation. 10 + -10 + -4a = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -4a = 12 + -10 -4a = 12 + -10 Combine like terms: 12 + -10 = 2 -4a = 2 Divide each side by '-4'. a = -0.5 Simplifying a = -0.5
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