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Simplifying 7a + 4 + -4a + 4 = 8a + -2 + a Reorder the terms: 4 + 4 + 7a + -4a = 8a + -2 + a Combine like terms: 4 + 4 = 8 8 + 7a + -4a = 8a + -2 + a Combine like terms: 7a + -4a = 3a 8 + 3a = 8a + -2 + a Reorder the terms: 8 + 3a = -2 + 8a + a Combine like terms: 8a + a = 9a 8 + 3a = -2 + 9a Solving 8 + 3a = -2 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 8 + 3a + -9a = -2 + 9a + -9a Combine like terms: 3a + -9a = -6a 8 + -6a = -2 + 9a + -9a Combine like terms: 9a + -9a = 0 8 + -6a = -2 + 0 8 + -6a = -2 Add '-8' to each side of the equation. 8 + -8 + -6a = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -6a = -2 + -8 -6a = -2 + -8 Combine like terms: -2 + -8 = -10 -6a = -10 Divide each side by '-6'. a = 1.666666667 Simplifying a = 1.666666667
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