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Simplifying 20 = 2(7 + 4a) + 6(a + -6) 20 = (7 * 2 + 4a * 2) + 6(a + -6) 20 = (14 + 8a) + 6(a + -6) Reorder the terms: 20 = 14 + 8a + 6(-6 + a) 20 = 14 + 8a + (-6 * 6 + a * 6) 20 = 14 + 8a + (-36 + 6a) Reorder the terms: 20 = 14 + -36 + 8a + 6a Combine like terms: 14 + -36 = -22 20 = -22 + 8a + 6a Combine like terms: 8a + 6a = 14a 20 = -22 + 14a Solving 20 = -22 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 20 + -14a = -22 + 14a + -14a Combine like terms: 14a + -14a = 0 20 + -14a = -22 + 0 20 + -14a = -22 Add '-20' to each side of the equation. 20 + -20 + -14a = -22 + -20 Combine like terms: 20 + -20 = 0 0 + -14a = -22 + -20 -14a = -22 + -20 Combine like terms: -22 + -20 = -42 -14a = -42 Divide each side by '-14'. a = 3 Simplifying a = 3
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