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Simplifying (-4a) + 3 = 2a + 12 Reorder the terms: 3 + (-4a) = 2a + 12 Reorder the terms: 3 + (-4a) = 12 + 2a Solving 3 + (-4a) = 12 + 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. 3 + (-4a) + -2a = 12 + 2a + -2a Combine like terms: (-4a) + -2a = -6a 3 + -6a = 12 + 2a + -2a Combine like terms: 2a + -2a = 0 3 + -6a = 12 + 0 3 + -6a = 12 Add '-3' to each side of the equation. 3 + -3 + -6a = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -6a = 12 + -3 -6a = 12 + -3 Combine like terms: 12 + -3 = 9 -6a = 9 Divide each side by '-6'. a = -1.5 Simplifying a = -1.5
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