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Simplifying 5a + 5 = -79 + -7a Reorder the terms: 5 + 5a = -79 + -7a Solving 5 + 5a = -79 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 5 + 5a + 7a = -79 + -7a + 7a Combine like terms: 5a + 7a = 12a 5 + 12a = -79 + -7a + 7a Combine like terms: -7a + 7a = 0 5 + 12a = -79 + 0 5 + 12a = -79 Add '-5' to each side of the equation. 5 + -5 + 12a = -79 + -5 Combine like terms: 5 + -5 = 0 0 + 12a = -79 + -5 12a = -79 + -5 Combine like terms: -79 + -5 = -84 12a = -84 Divide each side by '12'. a = -7 Simplifying a = -7
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