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Simplifying -12 + 2a = 5a + 9 Reorder the terms: -12 + 2a = 9 + 5a Solving -12 + 2a = 9 + 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 + 2a + -5a = 9 + 5a + -5a Combine like terms: 2a + -5a = -3a -12 + -3a = 9 + 5a + -5a Combine like terms: 5a + -5a = 0 -12 + -3a = 9 + 0 -12 + -3a = 9 Add '12' to each side of the equation. -12 + 12 + -3a = 9 + 12 Combine like terms: -12 + 12 = 0 0 + -3a = 9 + 12 -3a = 9 + 12 Combine like terms: 9 + 12 = 21 -3a = 21 Divide each side by '-3'. a = -7 Simplifying a = -7
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