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Simplifying a + 5 = -5a + -7 Reorder the terms: 5 + a = -5a + -7 Reorder the terms: 5 + a = -7 + -5a Solving 5 + a = -7 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 5 + a + 5a = -7 + -5a + 5a Combine like terms: a + 5a = 6a 5 + 6a = -7 + -5a + 5a Combine like terms: -5a + 5a = 0 5 + 6a = -7 + 0 5 + 6a = -7 Add '-5' to each side of the equation. 5 + -5 + 6a = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 6a = -7 + -5 6a = -7 + -5 Combine like terms: -7 + -5 = -12 6a = -12 Divide each side by '6'. a = -2 Simplifying a = -2
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