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Simplifying 2a + -16 = (8 + 2a) * 12 Reorder the terms: -16 + 2a = (8 + 2a) * 12 Reorder the terms for easier multiplication: -16 + 2a = 12(8 + 2a) -16 + 2a = (8 * 12 + 2a * 12) -16 + 2a = (96 + 24a) Solving -16 + 2a = 96 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. -16 + 2a + -24a = 96 + 24a + -24a Combine like terms: 2a + -24a = -22a -16 + -22a = 96 + 24a + -24a Combine like terms: 24a + -24a = 0 -16 + -22a = 96 + 0 -16 + -22a = 96 Add '16' to each side of the equation. -16 + 16 + -22a = 96 + 16 Combine like terms: -16 + 16 = 0 0 + -22a = 96 + 16 -22a = 96 + 16 Combine like terms: 96 + 16 = 112 -22a = 112 Divide each side by '-22'. a = -5.090909091 Simplifying a = -5.090909091
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