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Simplifying 83a + -22a + 4a + -64a + 3a + 7 = 91 Reorder the terms: 7 + 83a + -22a + 4a + -64a + 3a = 91 Combine like terms: 83a + -22a = 61a 7 + 61a + 4a + -64a + 3a = 91 Combine like terms: 61a + 4a = 65a 7 + 65a + -64a + 3a = 91 Combine like terms: 65a + -64a = 1a 7 + 1a + 3a = 91 Combine like terms: 1a + 3a = 4a 7 + 4a = 91 Solving 7 + 4a = 91 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4a = 91 + -7 Combine like terms: 7 + -7 = 0 0 + 4a = 91 + -7 4a = 91 + -7 Combine like terms: 91 + -7 = 84 4a = 84 Divide each side by '4'. a = 21 Simplifying a = 21
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