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Simplifying 6a + -2a + 10 = 2a + 40 Reorder the terms: 10 + 6a + -2a = 2a + 40 Combine like terms: 6a + -2a = 4a 10 + 4a = 2a + 40 Reorder the terms: 10 + 4a = 40 + 2a Solving 10 + 4a = 40 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 10 + 4a + -2a = 40 + 2a + -2a Combine like terms: 4a + -2a = 2a 10 + 2a = 40 + 2a + -2a Combine like terms: 2a + -2a = 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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