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Simplifying 3a + 10 = 2a + 7 Reorder the terms: 10 + 3a = 2a + 7 Reorder the terms: 10 + 3a = 7 + 2a Solving 10 + 3a = 7 + 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 + 3a + -2a = 7 + 2a + -2a Combine like terms: 3a + -2a = 1a 10 + 1a = 7 + 2a + -2a Combine like terms: 2a + -2a = 0 10 + 1a = 7 + 0 10 + 1a = 7 Add '-10' to each side of the equation. 10 + -10 + 1a = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 1a = 7 + -10 1a = 7 + -10 Combine like terms: 7 + -10 = -3 1a = -3 Divide each side by '1'. a = -3 Simplifying a = -3
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