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Simplifying a + 75 = -1a + 7 Reorder the terms: 75 + a = -1a + 7 Reorder the terms: 75 + a = 7 + -1a Solving 75 + a = 7 + -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. 75 + a + a = 7 + -1a + a Combine like terms: a + a = 2a 75 + 2a = 7 + -1a + a Combine like terms: -1a + a = 0 75 + 2a = 7 + 0 75 + 2a = 7 Add '-75' to each side of the equation. 75 + -75 + 2a = 7 + -75 Combine like terms: 75 + -75 = 0 0 + 2a = 7 + -75 2a = 7 + -75 Combine like terms: 7 + -75 = -68 2a = -68 Divide each side by '2'. a = -34 Simplifying a = -34
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