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Simplifying 5a + -9 = 2a + -12 Reorder the terms: -9 + 5a = 2a + -12 Reorder the terms: -9 + 5a = -12 + 2a Solving -9 + 5a = -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. -9 + 5a + -2a = -12 + 2a + -2a Combine like terms: 5a + -2a = 3a -9 + 3a = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 -9 + 3a = -12 + 0 -9 + 3a = -12 Add '9' to each side of the equation. -9 + 9 + 3a = -12 + 9 Combine like terms: -9 + 9 = 0 0 + 3a = -12 + 9 3a = -12 + 9 Combine like terms: -12 + 9 = -3 3a = -3 Divide each side by '3'. a = -1 Simplifying a = -1
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