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Simplifying 80 + 6a = 2(10a + -9) Reorder the terms: 80 + 6a = 2(-9 + 10a) 80 + 6a = (-9 * 2 + 10a * 2) 80 + 6a = (-18 + 20a) Solving 80 + 6a = -18 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. 80 + 6a + -20a = -18 + 20a + -20a Combine like terms: 6a + -20a = -14a 80 + -14a = -18 + 20a + -20a Combine like terms: 20a + -20a = 0 80 + -14a = -18 + 0 80 + -14a = -18 Add '-80' to each side of the equation. 80 + -80 + -14a = -18 + -80 Combine like terms: 80 + -80 = 0 0 + -14a = -18 + -80 -14a = -18 + -80 Combine like terms: -18 + -80 = -98 -14a = -98 Divide each side by '-14'. a = 7 Simplifying a = 7
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