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Simplifying 3a + 2 + 2b + 7 = 33 Reorder the terms: 2 + 7 + 3a + 2b = 33 Combine like terms: 2 + 7 = 9 9 + 3a + 2b = 33 Solving 9 + 3a + 2b = 33 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 3a + -9 + 2b = 33 + -9 Reorder the terms: 9 + -9 + 3a + 2b = 33 + -9 Combine like terms: 9 + -9 = 0 0 + 3a + 2b = 33 + -9 3a + 2b = 33 + -9 Combine like terms: 33 + -9 = 24 3a + 2b = 24 Add '-2b' to each side of the equation. 3a + 2b + -2b = 24 + -2b Combine like terms: 2b + -2b = 0 3a + 0 = 24 + -2b 3a = 24 + -2b Divide each side by '3'. a = 8 + -0.6666666667b Simplifying a = 8 + -0.6666666667b
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