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Simplifying 11a + 97 = 20a + -74 Reorder the terms: 97 + 11a = 20a + -74 Reorder the terms: 97 + 11a = -74 + 20a Solving 97 + 11a = -74 + 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. 97 + 11a + -20a = -74 + 20a + -20a Combine like terms: 11a + -20a = -9a 97 + -9a = -74 + 20a + -20a Combine like terms: 20a + -20a = 0 97 + -9a = -74 + 0 97 + -9a = -74 Add '-97' to each side of the equation. 97 + -97 + -9a = -74 + -97 Combine like terms: 97 + -97 = 0 0 + -9a = -74 + -97 -9a = -74 + -97 Combine like terms: -74 + -97 = -171 -9a = -171 Divide each side by '-9'. a = 19 Simplifying a = 19
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