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Simplifying 7a + 8 = 5a + -10 Reorder the terms: 8 + 7a = 5a + -10 Reorder the terms: 8 + 7a = -10 + 5a Solving 8 + 7a = -10 + 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. 8 + 7a + -5a = -10 + 5a + -5a Combine like terms: 7a + -5a = 2a 8 + 2a = -10 + 5a + -5a Combine like terms: 5a + -5a = 0 8 + 2a = -10 + 0 8 + 2a = -10 Add '-8' to each side of the equation. 8 + -8 + 2a = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 2a = -10 + -8 2a = -10 + -8 Combine like terms: -10 + -8 = -18 2a = -18 Divide each side by '2'. a = -9 Simplifying a = -9
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