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Simplifying 20 + 11a = -20 + 14a + 1 Reorder the terms: 20 + 11a = -20 + 1 + 14a Combine like terms: -20 + 1 = -19 20 + 11a = -19 + 14a Solving 20 + 11a = -19 + 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 + 11a + -14a = -19 + 14a + -14a Combine like terms: 11a + -14a = -3a 20 + -3a = -19 + 14a + -14a Combine like terms: 14a + -14a = 0 20 + -3a = -19 + 0 20 + -3a = -19 Add '-20' to each side of the equation. 20 + -20 + -3a = -19 + -20 Combine like terms: 20 + -20 = 0 0 + -3a = -19 + -20 -3a = -19 + -20 Combine like terms: -19 + -20 = -39 -3a = -39 Divide each side by '-3'. a = 13 Simplifying a = 13
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