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Simplifying 8a + -15 = 3a + 40 Reorder the terms: -15 + 8a = 3a + 40 Reorder the terms: -15 + 8a = 40 + 3a Solving -15 + 8a = 40 + 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. -15 + 8a + -3a = 40 + 3a + -3a Combine like terms: 8a + -3a = 5a -15 + 5a = 40 + 3a + -3a Combine like terms: 3a + -3a = 0 -15 + 5a = 40 + 0 -15 + 5a = 40 Add '15' to each side of the equation. -15 + 15 + 5a = 40 + 15 Combine like terms: -15 + 15 = 0 0 + 5a = 40 + 15 5a = 40 + 15 Combine like terms: 40 + 15 = 55 5a = 55 Divide each side by '5'. a = 11 Simplifying a = 11
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