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Simplifying 5a + 33 = -2a + -44 Reorder the terms: 33 + 5a = -2a + -44 Reorder the terms: 33 + 5a = -44 + -2a Solving 33 + 5a = -44 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 33 + 5a + 2a = -44 + -2a + 2a Combine like terms: 5a + 2a = 7a 33 + 7a = -44 + -2a + 2a Combine like terms: -2a + 2a = 0 33 + 7a = -44 + 0 33 + 7a = -44 Add '-33' to each side of the equation. 33 + -33 + 7a = -44 + -33 Combine like terms: 33 + -33 = 0 0 + 7a = -44 + -33 7a = -44 + -33 Combine like terms: -44 + -33 = -77 7a = -77 Divide each side by '7'. a = -11 Simplifying a = -11
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