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Simplifying 9a + 3 + -5a + 3 = 9a + -10 + a Reorder the terms: 3 + 3 + 9a + -5a = 9a + -10 + a Combine like terms: 3 + 3 = 6 6 + 9a + -5a = 9a + -10 + a Combine like terms: 9a + -5a = 4a 6 + 4a = 9a + -10 + a Reorder the terms: 6 + 4a = -10 + 9a + a Combine like terms: 9a + a = 10a 6 + 4a = -10 + 10a Solving 6 + 4a = -10 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 6 + 4a + -10a = -10 + 10a + -10a Combine like terms: 4a + -10a = -6a 6 + -6a = -10 + 10a + -10a Combine like terms: 10a + -10a = 0 6 + -6a = -10 + 0 6 + -6a = -10 Add '-6' to each side of the equation. 6 + -6 + -6a = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -6a = -10 + -6 -6a = -10 + -6 Combine like terms: -10 + -6 = -16 -6a = -16 Divide each side by '-6'. a = 2.666666667 Simplifying a = 2.666666667
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