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Simplifying (12a + -8) * 2 = 22a + -11 Reorder the terms: (-8 + 12a) * 2 = 22a + -11 Reorder the terms for easier multiplication: 2(-8 + 12a) = 22a + -11 (-8 * 2 + 12a * 2) = 22a + -11 (-16 + 24a) = 22a + -11 Reorder the terms: -16 + 24a = -11 + 22a Solving -16 + 24a = -11 + 22a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22a' to each side of the equation. -16 + 24a + -22a = -11 + 22a + -22a Combine like terms: 24a + -22a = 2a -16 + 2a = -11 + 22a + -22a Combine like terms: 22a + -22a = 0 -16 + 2a = -11 + 0 -16 + 2a = -11 Add '16' to each side of the equation. -16 + 16 + 2a = -11 + 16 Combine like terms: -16 + 16 = 0 0 + 2a = -11 + 16 2a = -11 + 16 Combine like terms: -11 + 16 = 5 2a = 5 Divide each side by '2'. a = 2.5 Simplifying a = 2.5
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