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Simplifying 3a + 2a + -2 = 7a + -4a + -8 Reorder the terms: -2 + 3a + 2a = 7a + -4a + -8 Combine like terms: 3a + 2a = 5a -2 + 5a = 7a + -4a + -8 Reorder the terms: -2 + 5a = -8 + 7a + -4a Combine like terms: 7a + -4a = 3a -2 + 5a = -8 + 3a Solving -2 + 5a = -8 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -2 + 5a + -3a = -8 + 3a + -3a Combine like terms: 5a + -3a = 2a -2 + 2a = -8 + 3a + -3a Combine like terms: 3a + -3a = 0 -2 + 2a = -8 + 0 -2 + 2a = -8 Add '2' to each side of the equation. -2 + 2 + 2a = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 2a = -8 + 2 2a = -8 + 2 Combine like terms: -8 + 2 = -6 2a = -6 Divide each side by '2'. a = -3 Simplifying a = -3
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