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Simplifying 8a + 10 = 6a + 40 Reorder the terms: 10 + 8a = 6a + 40 Reorder the terms: 10 + 8a = 40 + 6a Solving 10 + 8a = 40 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 10 + 8a + -6a = 40 + 6a + -6a Combine like terms: 8a + -6a = 2a 10 + 2a = 40 + 6a + -6a Combine like terms: 6a + -6a = 0 10 + 2a = 40 + 0 10 + 2a = 40 Add '-10' to each side of the equation. 10 + -10 + 2a = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 2a = 40 + -10 2a = 40 + -10 Combine like terms: 40 + -10 = 30 2a = 30 Divide each side by '2'. a = 15 Simplifying a = 15
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