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Simplifying 5a + 5 = 45 + -3a Reorder the terms: 5 + 5a = 45 + -3a Solving 5 + 5a = 45 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 5 + 5a + 3a = 45 + -3a + 3a Combine like terms: 5a + 3a = 8a 5 + 8a = 45 + -3a + 3a Combine like terms: -3a + 3a = 0 5 + 8a = 45 + 0 5 + 8a = 45 Add '-5' to each side of the equation. 5 + -5 + 8a = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 8a = 45 + -5 8a = 45 + -5 Combine like terms: 45 + -5 = 40 8a = 40 Divide each side by '8'. a = 5 Simplifying a = 5
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