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Simplifying 2a + 10 = 3a + -40 Reorder the terms: 10 + 2a = 3a + -40 Reorder the terms: 10 + 2a = -40 + 3a Solving 10 + 2a = -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. 10 + 2a + -3a = -40 + 3a + -3a Combine like terms: 2a + -3a = -1a 10 + -1a = -40 + 3a + -3a Combine like terms: 3a + -3a = 0 10 + -1a = -40 + 0 10 + -1a = -40 Add '-10' to each side of the equation. 10 + -10 + -1a = -40 + -10 Combine like terms: 10 + -10 = 0 0 + -1a = -40 + -10 -1a = -40 + -10 Combine like terms: -40 + -10 = -50 -1a = -50 Divide each side by '-1'. a = 50 Simplifying a = 50
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