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Simplifying 11 = 7 + -1(a + 3) Reorder the terms: 11 = 7 + -1(3 + a) 11 = 7 + (3 * -1 + a * -1) 11 = 7 + (-3 + -1a) Combine like terms: 7 + -3 = 4 11 = 4 + -1a Solving 11 = 4 + -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 + a = 4 + -1a + a Combine like terms: -1a + a = 0 11 + a = 4 + 0 11 + a = 4 Add '-11' to each side of the equation. 11 + -11 + a = 4 + -11 Combine like terms: 11 + -11 = 0 0 + a = 4 + -11 a = 4 + -11 Combine like terms: 4 + -11 = -7 a = -7 Simplifying a = -7
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