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Simplifying 7a + -4a + 8 + -9a + -2 = 6a + -2a + 20 + -5a + 16 Reorder the terms: 8 + -2 + 7a + -4a + -9a = 6a + -2a + 20 + -5a + 16 Combine like terms: 8 + -2 = 6 6 + 7a + -4a + -9a = 6a + -2a + 20 + -5a + 16 Combine like terms: 7a + -4a = 3a 6 + 3a + -9a = 6a + -2a + 20 + -5a + 16 Combine like terms: 3a + -9a = -6a 6 + -6a = 6a + -2a + 20 + -5a + 16 Reorder the terms: 6 + -6a = 20 + 16 + 6a + -2a + -5a Combine like terms: 20 + 16 = 36 6 + -6a = 36 + 6a + -2a + -5a Combine like terms: 6a + -2a = 4a 6 + -6a = 36 + 4a + -5a Combine like terms: 4a + -5a = -1a 6 + -6a = 36 + -1a Solving 6 + -6a = 36 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 6 + -6a + a = 36 + -1a + a Combine like terms: -6a + a = -5a 6 + -5a = 36 + -1a + a Combine like terms: -1a + a = 0 6 + -5a = 36 + 0 6 + -5a = 36 Add '-6' to each side of the equation. 6 + -6 + -5a = 36 + -6 Combine like terms: 6 + -6 = 0 0 + -5a = 36 + -6 -5a = 36 + -6 Combine like terms: 36 + -6 = 30 -5a = 30 Divide each side by '-5'. a = -6 Simplifying a = -6
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