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Simplifying 8a + -45 = 3a + 15 Reorder the terms: -45 + 8a = 3a + 15 Reorder the terms: -45 + 8a = 15 + 3a Solving -45 + 8a = 15 + 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. -45 + 8a + -3a = 15 + 3a + -3a Combine like terms: 8a + -3a = 5a -45 + 5a = 15 + 3a + -3a Combine like terms: 3a + -3a = 0 -45 + 5a = 15 + 0 -45 + 5a = 15 Add '45' to each side of the equation. -45 + 45 + 5a = 15 + 45 Combine like terms: -45 + 45 = 0 0 + 5a = 15 + 45 5a = 15 + 45 Combine like terms: 15 + 45 = 60 5a = 60 Divide each side by '5'. a = 12 Simplifying a = 12
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