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Simplifying -8 + (-5) = 12a + 6 + -11a -8 + -5 = 12a + 6 + -11a Combine like terms: -8 + -5 = -13 -13 = 12a + 6 + -11a Reorder the terms: -13 = 6 + 12a + -11a Combine like terms: 12a + -11a = 1a -13 = 6 + 1a Solving -13 = 6 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -13 + -1a = 6 + 1a + -1a Combine like terms: 1a + -1a = 0 -13 + -1a = 6 + 0 -13 + -1a = 6 Add '13' to each side of the equation. -13 + 13 + -1a = 6 + 13 Combine like terms: -13 + 13 = 0 0 + -1a = 6 + 13 -1a = 6 + 13 Combine like terms: 6 + 13 = 19 -1a = 19 Divide each side by '-1'. a = -19 Simplifying a = -19
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