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Simplifying 3a + -2 = 5a + 7 Reorder the terms: -2 + 3a = 5a + 7 Reorder the terms: -2 + 3a = 7 + 5a Solving -2 + 3a = 7 + 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 + 3a + -5a = 7 + 5a + -5a Combine like terms: 3a + -5a = -2a -2 + -2a = 7 + 5a + -5a Combine like terms: 5a + -5a = 0 -2 + -2a = 7 + 0 -2 + -2a = 7 Add '2' to each side of the equation. -2 + 2 + -2a = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -2a = 7 + 2 -2a = 7 + 2 Combine like terms: 7 + 2 = 9 -2a = 9 Divide each side by '-2'. a = -4.5 Simplifying a = -4.5
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