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Simplifying 7a + 45 + -1a + -62 = 3a + 23 + 2a Reorder the terms: 45 + -62 + 7a + -1a = 3a + 23 + 2a Combine like terms: 45 + -62 = -17 -17 + 7a + -1a = 3a + 23 + 2a Combine like terms: 7a + -1a = 6a -17 + 6a = 3a + 23 + 2a Reorder the terms: -17 + 6a = 23 + 3a + 2a Combine like terms: 3a + 2a = 5a -17 + 6a = 23 + 5a Solving -17 + 6a = 23 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -17 + 6a + -5a = 23 + 5a + -5a Combine like terms: 6a + -5a = 1a -17 + 1a = 23 + 5a + -5a Combine like terms: 5a + -5a = 0 -17 + 1a = 23 + 0 -17 + 1a = 23 Add '17' to each side of the equation. -17 + 17 + 1a = 23 + 17 Combine like terms: -17 + 17 = 0 0 + 1a = 23 + 17 1a = 23 + 17 Combine like terms: 23 + 17 = 40 1a = 40 Divide each side by '1'. a = 40 Simplifying a = 40
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