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Simplifying 3a + 5a + -2 = 6a + a + -7 Reorder the terms: -2 + 3a + 5a = 6a + a + -7 Combine like terms: 3a + 5a = 8a -2 + 8a = 6a + a + -7 Reorder the terms: -2 + 8a = -7 + 6a + a Combine like terms: 6a + a = 7a -2 + 8a = -7 + 7a Solving -2 + 8a = -7 + 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 + 8a + -7a = -7 + 7a + -7a Combine like terms: 8a + -7a = 1a -2 + 1a = -7 + 7a + -7a Combine like terms: 7a + -7a = 0 -2 + 1a = -7 + 0 -2 + 1a = -7 Add '2' to each side of the equation. -2 + 2 + 1a = -7 + 2 Combine like terms: -2 + 2 = 0 0 + 1a = -7 + 2 1a = -7 + 2 Combine like terms: -7 + 2 = -5 1a = -5 Divide each side by '1'. a = -5 Simplifying a = -5
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