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Simplifying 11 + -1(7a + -1a) + 11a = 4(3a + 7) Combine like terms: 7a + -1a = 6a 11 + -1(6a) + 11a = 4(3a + 7) Remove parenthesis around (6a) 11 + -1 * 6a + 11a = 4(3a + 7) Multiply -1 * 6 11 + -6a + 11a = 4(3a + 7) Combine like terms: -6a + 11a = 5a 11 + 5a = 4(3a + 7) Reorder the terms: 11 + 5a = 4(7 + 3a) 11 + 5a = (7 * 4 + 3a * 4) 11 + 5a = (28 + 12a) Solving 11 + 5a = 28 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 11 + 5a + -12a = 28 + 12a + -12a Combine like terms: 5a + -12a = -7a 11 + -7a = 28 + 12a + -12a Combine like terms: 12a + -12a = 0 11 + -7a = 28 + 0 11 + -7a = 28 Add '-11' to each side of the equation. 11 + -11 + -7a = 28 + -11 Combine like terms: 11 + -11 = 0 0 + -7a = 28 + -11 -7a = 28 + -11 Combine like terms: 28 + -11 = 17 -7a = 17 Divide each side by '-7'. a = -2.428571429 Simplifying a = -2.428571429
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