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Simplifying 12 = 8a + 6 + -10a Reorder the terms: 12 = 6 + 8a + -10a Combine like terms: 8a + -10a = -2a 12 = 6 + -2a Solving 12 = 6 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 12 + 2a = 6 + -2a + 2a Combine like terms: -2a + 2a = 0 12 + 2a = 6 + 0 12 + 2a = 6 Add '-12' to each side of the equation. 12 + -12 + 2a = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 2a = 6 + -12 2a = 6 + -12 Combine like terms: 6 + -12 = -6 2a = -6 Divide each side by '2'. a = -3 Simplifying a = -3
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