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Simplifying 8a + -45 = 5a + 30 Reorder the terms: -45 + 8a = 5a + 30 Reorder the terms: -45 + 8a = 30 + 5a Solving -45 + 8a = 30 + 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. -45 + 8a + -5a = 30 + 5a + -5a Combine like terms: 8a + -5a = 3a -45 + 3a = 30 + 5a + -5a Combine like terms: 5a + -5a = 0 -45 + 3a = 30 + 0 -45 + 3a = 30 Add '45' to each side of the equation. -45 + 45 + 3a = 30 + 45 Combine like terms: -45 + 45 = 0 0 + 3a = 30 + 45 3a = 30 + 45 Combine like terms: 30 + 45 = 75 3a = 75 Divide each side by '3'. a = 25 Simplifying a = 25
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