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Simplifying 7a + -12 = 8a + a Reorder the terms: -12 + 7a = 8a + a Combine like terms: 8a + a = 9a -12 + 7a = 9a Solving -12 + 7a = 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 + 7a + -9a = 9a + -9a Combine like terms: 7a + -9a = -2a -12 + -2a = 9a + -9a Combine like terms: 9a + -9a = 0 -12 + -2a = 0 Add '12' to each side of the equation. -12 + 12 + -2a = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -2a = 0 + 12 -2a = 0 + 12 Combine like terms: 0 + 12 = 12 -2a = 12 Divide each side by '-2'. a = -6 Simplifying a = -6
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