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Simplifying -7a + 8a + 11 = 4 + -1a + -7 Reorder the terms: 11 + -7a + 8a = 4 + -1a + -7 Combine like terms: -7a + 8a = 1a 11 + 1a = 4 + -1a + -7 Reorder the terms: 11 + 1a = 4 + -7 + -1a Combine like terms: 4 + -7 = -3 11 + 1a = -3 + -1a Solving 11 + 1a = -3 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 11 + 1a + a = -3 + -1a + a Combine like terms: 1a + a = 2a 11 + 2a = -3 + -1a + a Combine like terms: -1a + a = 0 11 + 2a = -3 + 0 11 + 2a = -3 Add '-11' to each side of the equation. 11 + -11 + 2a = -3 + -11 Combine like terms: 11 + -11 = 0 0 + 2a = -3 + -11 2a = -3 + -11 Combine like terms: -3 + -11 = -14 2a = -14 Divide each side by '2'. a = -7 Simplifying a = -7
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