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Simplifying 5a + -2 + -3a = 2a + 3 + 5a Reorder the terms: -2 + 5a + -3a = 2a + 3 + 5a Combine like terms: 5a + -3a = 2a -2 + 2a = 2a + 3 + 5a Reorder the terms: -2 + 2a = 3 + 2a + 5a Combine like terms: 2a + 5a = 7a -2 + 2a = 3 + 7a Solving -2 + 2a = 3 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -2 + 2a + -7a = 3 + 7a + -7a Combine like terms: 2a + -7a = -5a -2 + -5a = 3 + 7a + -7a Combine like terms: 7a + -7a = 0 -2 + -5a = 3 + 0 -2 + -5a = 3 Add '2' to each side of the equation. -2 + 2 + -5a = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -5a = 3 + 2 -5a = 3 + 2 Combine like terms: 3 + 2 = 5 -5a = 5 Divide each side by '-5'. a = -1 Simplifying a = -1
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