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Simplifying 7a + -12 = 8a + -9 Reorder the terms: -12 + 7a = 8a + -9 Reorder the terms: -12 + 7a = -9 + 8a Solving -12 + 7a = -9 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -12 + 7a + -8a = -9 + 8a + -8a Combine like terms: 7a + -8a = -1a -12 + -1a = -9 + 8a + -8a Combine like terms: 8a + -8a = 0 -12 + -1a = -9 + 0 -12 + -1a = -9 Add '12' to each side of the equation. -12 + 12 + -1a = -9 + 12 Combine like terms: -12 + 12 = 0 0 + -1a = -9 + 12 -1a = -9 + 12 Combine like terms: -9 + 12 = 3 -1a = 3 Divide each side by '-1'. a = -3 Simplifying a = -3
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