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Simplifying 5 + a = -7a + 7(a + 1) Reorder the terms: 5 + a = -7a + 7(1 + a) 5 + a = -7a + (1 * 7 + a * 7) 5 + a = -7a + (7 + 7a) Reorder the terms: 5 + a = 7 + -7a + 7a Combine like terms: -7a + 7a = 0 5 + a = 7 + 0 5 + a = 7 Solving 5 + a = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + a = 7 + -5 Combine like terms: 5 + -5 = 0 0 + a = 7 + -5 a = 7 + -5 Combine like terms: 7 + -5 = 2 a = 2 Simplifying a = 2
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