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Simplifying 4a + 1 + -7a = 11a + -4 Reorder the terms: 1 + 4a + -7a = 11a + -4 Combine like terms: 4a + -7a = -3a 1 + -3a = 11a + -4 Reorder the terms: 1 + -3a = -4 + 11a Solving 1 + -3a = -4 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 1 + -3a + -11a = -4 + 11a + -11a Combine like terms: -3a + -11a = -14a 1 + -14a = -4 + 11a + -11a Combine like terms: 11a + -11a = 0 1 + -14a = -4 + 0 1 + -14a = -4 Add '-1' to each side of the equation. 1 + -1 + -14a = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -14a = -4 + -1 -14a = -4 + -1 Combine like terms: -4 + -1 = -5 -14a = -5 Divide each side by '-14'. a = 0.3571428571 Simplifying a = 0.3571428571
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