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Simplifying 2a + 40 = 3a + 10 Reorder the terms: 40 + 2a = 3a + 10 Reorder the terms: 40 + 2a = 10 + 3a Solving 40 + 2a = 10 + 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. 40 + 2a + -3a = 10 + 3a + -3a Combine like terms: 2a + -3a = -1a 40 + -1a = 10 + 3a + -3a Combine like terms: 3a + -3a = 0 40 + -1a = 10 + 0 40 + -1a = 10 Add '-40' to each side of the equation. 40 + -40 + -1a = 10 + -40 Combine like terms: 40 + -40 = 0 0 + -1a = 10 + -40 -1a = 10 + -40 Combine like terms: 10 + -40 = -30 -1a = -30 Divide each side by '-1'. a = 30 Simplifying a = 30
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