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Simplifying 2a + 3 + -7 = 12 + 4a Reorder the terms: 3 + -7 + 2a = 12 + 4a Combine like terms: 3 + -7 = -4 -4 + 2a = 12 + 4a Solving -4 + 2a = 12 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -4 + 2a + -4a = 12 + 4a + -4a Combine like terms: 2a + -4a = -2a -4 + -2a = 12 + 4a + -4a Combine like terms: 4a + -4a = 0 -4 + -2a = 12 + 0 -4 + -2a = 12 Add '4' to each side of the equation. -4 + 4 + -2a = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -2a = 12 + 4 -2a = 12 + 4 Combine like terms: 12 + 4 = 16 -2a = 16 Divide each side by '-2'. a = -8 Simplifying a = -8
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