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Simplifying -6a + 12 + -2(a + -1) + 10 = 0 Reorder the terms: -6a + 12 + -2(-1 + a) + 10 = 0 -6a + 12 + (-1 * -2 + a * -2) + 10 = 0 -6a + 12 + (2 + -2a) + 10 = 0 Reorder the terms: 12 + 2 + 10 + -6a + -2a = 0 Combine like terms: 12 + 2 = 14 14 + 10 + -6a + -2a = 0 Combine like terms: 14 + 10 = 24 24 + -6a + -2a = 0 Combine like terms: -6a + -2a = -8a 24 + -8a = 0 Solving 24 + -8a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -8a = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -8a = 0 + -24 -8a = 0 + -24 Combine like terms: 0 + -24 = -24 -8a = -24 Divide each side by '-8'. a = 3 Simplifying a = 3
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