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Simplifying 3a + 7 = -2a + 62 Reorder the terms: 7 + 3a = -2a + 62 Reorder the terms: 7 + 3a = 62 + -2a Solving 7 + 3a = 62 + -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. 7 + 3a + 2a = 62 + -2a + 2a Combine like terms: 3a + 2a = 5a 7 + 5a = 62 + -2a + 2a Combine like terms: -2a + 2a = 0 7 + 5a = 62 + 0 7 + 5a = 62 Add '-7' to each side of the equation. 7 + -7 + 5a = 62 + -7 Combine like terms: 7 + -7 = 0 0 + 5a = 62 + -7 5a = 62 + -7 Combine like terms: 62 + -7 = 55 5a = 55 Divide each side by '5'. a = 11 Simplifying a = 11
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