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Simplifying 2a + -12 + 8a = 3a + 7 + 9 Reorder the terms: -12 + 2a + 8a = 3a + 7 + 9 Combine like terms: 2a + 8a = 10a -12 + 10a = 3a + 7 + 9 Reorder the terms: -12 + 10a = 7 + 9 + 3a Combine like terms: 7 + 9 = 16 -12 + 10a = 16 + 3a Solving -12 + 10a = 16 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -12 + 10a + -3a = 16 + 3a + -3a Combine like terms: 10a + -3a = 7a -12 + 7a = 16 + 3a + -3a Combine like terms: 3a + -3a = 0 -12 + 7a = 16 + 0 -12 + 7a = 16 Add '12' to each side of the equation. -12 + 12 + 7a = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 7a = 16 + 12 7a = 16 + 12 Combine like terms: 16 + 12 = 28 7a = 28 Divide each side by '7'. a = 4 Simplifying a = 4
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