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Simplifying 3a + -6 + 7a = 6a + 12 Reorder the terms: -6 + 3a + 7a = 6a + 12 Combine like terms: 3a + 7a = 10a -6 + 10a = 6a + 12 Reorder the terms: -6 + 10a = 12 + 6a Solving -6 + 10a = 12 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -6 + 10a + -6a = 12 + 6a + -6a Combine like terms: 10a + -6a = 4a -6 + 4a = 12 + 6a + -6a Combine like terms: 6a + -6a = 0 -6 + 4a = 12 + 0 -6 + 4a = 12 Add '6' to each side of the equation. -6 + 6 + 4a = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 4a = 12 + 6 4a = 12 + 6 Combine like terms: 12 + 6 = 18 4a = 18 Divide each side by '4'. a = 4.5 Simplifying a = 4.5
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