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Simplifying 4a + -2 = 3 + -2a + 7a Reorder the terms: -2 + 4a = 3 + -2a + 7a Combine like terms: -2a + 7a = 5a -2 + 4a = 3 + 5a Solving -2 + 4a = 3 + 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. -2 + 4a + -5a = 3 + 5a + -5a Combine like terms: 4a + -5a = -1a -2 + -1a = 3 + 5a + -5a Combine like terms: 5a + -5a = 0 -2 + -1a = 3 + 0 -2 + -1a = 3 Add '2' to each side of the equation. -2 + 2 + -1a = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -1a = 3 + 2 -1a = 3 + 2 Combine like terms: 3 + 2 = 5 -1a = 5 Divide each side by '-1'. a = -5 Simplifying a = -5
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