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Simplifying 6a + 12 + 2a = 4a + -8 + 10 Reorder the terms: 12 + 6a + 2a = 4a + -8 + 10 Combine like terms: 6a + 2a = 8a 12 + 8a = 4a + -8 + 10 Reorder the terms: 12 + 8a = -8 + 10 + 4a Combine like terms: -8 + 10 = 2 12 + 8a = 2 + 4a Solving 12 + 8a = 2 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 12 + 8a + -4a = 2 + 4a + -4a Combine like terms: 8a + -4a = 4a 12 + 4a = 2 + 4a + -4a Combine like terms: 4a + -4a = 0 12 + 4a = 2 + 0 12 + 4a = 2 Add '-12' to each side of the equation. 12 + -12 + 4a = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 4a = 2 + -12 4a = 2 + -12 Combine like terms: 2 + -12 = -10 4a = -10 Divide each side by '4'. a = -2.5 Simplifying a = -2.5
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