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Simplifying a + -33 + 44a = 14 + 34a + 8 Reorder the terms: -33 + a + 44a = 14 + 34a + 8 Combine like terms: a + 44a = 45a -33 + 45a = 14 + 34a + 8 Reorder the terms: -33 + 45a = 14 + 8 + 34a Combine like terms: 14 + 8 = 22 -33 + 45a = 22 + 34a Solving -33 + 45a = 22 + 34a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-34a' to each side of the equation. -33 + 45a + -34a = 22 + 34a + -34a Combine like terms: 45a + -34a = 11a -33 + 11a = 22 + 34a + -34a Combine like terms: 34a + -34a = 0 -33 + 11a = 22 + 0 -33 + 11a = 22 Add '33' to each side of the equation. -33 + 33 + 11a = 22 + 33 Combine like terms: -33 + 33 = 0 0 + 11a = 22 + 33 11a = 22 + 33 Combine like terms: 22 + 33 = 55 11a = 55 Divide each side by '11'. a = 5 Simplifying a = 5
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