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Simplifying 2a + 8 = 5a + -7 Reorder the terms: 8 + 2a = 5a + -7 Reorder the terms: 8 + 2a = -7 + 5a Solving 8 + 2a = -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. 8 + 2a + -5a = -7 + 5a + -5a Combine like terms: 2a + -5a = -3a 8 + -3a = -7 + 5a + -5a Combine like terms: 5a + -5a = 0 8 + -3a = -7 + 0 8 + -3a = -7 Add '-8' to each side of the equation. 8 + -8 + -3a = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -3a = -7 + -8 -3a = -7 + -8 Combine like terms: -7 + -8 = -15 -3a = -15 Divide each side by '-3'. a = 5 Simplifying a = 5
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