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Simplifying -12 + 3a = 2(a + 2) + 3a Reorder the terms: -12 + 3a = 2(2 + a) + 3a -12 + 3a = (2 * 2 + a * 2) + 3a -12 + 3a = (4 + 2a) + 3a Combine like terms: 2a + 3a = 5a -12 + 3a = 4 + 5a Solving -12 + 3a = 4 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -12 + 3a + -5a = 4 + 5a + -5a Combine like terms: 3a + -5a = -2a -12 + -2a = 4 + 5a + -5a Combine like terms: 5a + -5a = 0 -12 + -2a = 4 + 0 -12 + -2a = 4 Add '12' to each side of the equation. -12 + 12 + -2a = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -2a = 4 + 12 -2a = 4 + 12 Combine like terms: 4 + 12 = 16 -2a = 16 Divide each side by '-2'. a = -8 Simplifying a = -8
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