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Simplifying 9a + -7 = 5a + 33 Reorder the terms: -7 + 9a = 5a + 33 Reorder the terms: -7 + 9a = 33 + 5a Solving -7 + 9a = 33 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -7 + 9a + -5a = 33 + 5a + -5a Combine like terms: 9a + -5a = 4a -7 + 4a = 33 + 5a + -5a Combine like terms: 5a + -5a = 0 -7 + 4a = 33 + 0 -7 + 4a = 33 Add '7' to each side of the equation. -7 + 7 + 4a = 33 + 7 Combine like terms: -7 + 7 = 0 0 + 4a = 33 + 7 4a = 33 + 7 Combine like terms: 33 + 7 = 40 4a = 40 Divide each side by '4'. a = 10 Simplifying a = 10
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