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Simplifying 3a + 7 + 4a + -37 = 2a Reorder the terms: 7 + -37 + 3a + 4a = 2a Combine like terms: 7 + -37 = -30 -30 + 3a + 4a = 2a Combine like terms: 3a + 4a = 7a -30 + 7a = 2a Solving -30 + 7a = 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. -30 + 7a + -2a = 2a + -2a Combine like terms: 7a + -2a = 5a -30 + 5a = 2a + -2a Combine like terms: 2a + -2a = 0 -30 + 5a = 0 Add '30' to each side of the equation. -30 + 30 + 5a = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 5a = 0 + 30 5a = 0 + 30 Combine like terms: 0 + 30 = 30 5a = 30 Divide each side by '5'. a = 6 Simplifying a = 6
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