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Simplifying -12 + 4a = -9a + 1 Reorder the terms: -12 + 4a = 1 + -9a Solving -12 + 4a = 1 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. -12 + 4a + 9a = 1 + -9a + 9a Combine like terms: 4a + 9a = 13a -12 + 13a = 1 + -9a + 9a Combine like terms: -9a + 9a = 0 -12 + 13a = 1 + 0 -12 + 13a = 1 Add '12' to each side of the equation. -12 + 12 + 13a = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 13a = 1 + 12 13a = 1 + 12 Combine like terms: 1 + 12 = 13 13a = 13 Divide each side by '13'. a = 1 Simplifying a = 1
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