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Simplifying -1a + -2 + 8 = 2a + -12 Reorder the terms: -2 + 8 + -1a = 2a + -12 Combine like terms: -2 + 8 = 6 6 + -1a = 2a + -12 Reorder the terms: 6 + -1a = -12 + 2a Solving 6 + -1a = -12 + 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. 6 + -1a + -2a = -12 + 2a + -2a Combine like terms: -1a + -2a = -3a 6 + -3a = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 6 + -3a = -12 + 0 6 + -3a = -12 Add '-6' to each side of the equation. 6 + -6 + -3a = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -3a = -12 + -6 -3a = -12 + -6 Combine like terms: -12 + -6 = -18 -3a = -18 Divide each side by '-3'. a = 6 Simplifying a = 6
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