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Simplifying 2a + 7 = -4a + 37 Reorder the terms: 7 + 2a = -4a + 37 Reorder the terms: 7 + 2a = 37 + -4a Solving 7 + 2a = 37 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 7 + 2a + 4a = 37 + -4a + 4a Combine like terms: 2a + 4a = 6a 7 + 6a = 37 + -4a + 4a Combine like terms: -4a + 4a = 0 7 + 6a = 37 + 0 7 + 6a = 37 Add '-7' to each side of the equation. 7 + -7 + 6a = 37 + -7 Combine like terms: 7 + -7 = 0 0 + 6a = 37 + -7 6a = 37 + -7 Combine like terms: 37 + -7 = 30 6a = 30 Divide each side by '6'. a = 5 Simplifying a = 5
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