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Simplifying 5a + 11 + -22 = a + 33 + 28 Reorder the terms: 11 + -22 + 5a = a + 33 + 28 Combine like terms: 11 + -22 = -11 -11 + 5a = a + 33 + 28 Reorder the terms: -11 + 5a = 33 + 28 + a Combine like terms: 33 + 28 = 61 -11 + 5a = 61 + a Solving -11 + 5a = 61 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -11 + 5a + -1a = 61 + a + -1a Combine like terms: 5a + -1a = 4a -11 + 4a = 61 + a + -1a Combine like terms: a + -1a = 0 -11 + 4a = 61 + 0 -11 + 4a = 61 Add '11' to each side of the equation. -11 + 11 + 4a = 61 + 11 Combine like terms: -11 + 11 = 0 0 + 4a = 61 + 11 4a = 61 + 11 Combine like terms: 61 + 11 = 72 4a = 72 Divide each side by '4'. a = 18 Simplifying a = 18
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