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Simplifying 12 + -5a = -2a + -9 Reorder the terms: 12 + -5a = -9 + -2a Solving 12 + -5a = -9 + -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. 12 + -5a + 2a = -9 + -2a + 2a Combine like terms: -5a + 2a = -3a 12 + -3a = -9 + -2a + 2a Combine like terms: -2a + 2a = 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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