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Simplifying 46 + 6a + -10 + 2a + 7 = 180 Reorder the terms: 46 + -10 + 7 + 6a + 2a = 180 Combine like terms: 46 + -10 = 36 36 + 7 + 6a + 2a = 180 Combine like terms: 36 + 7 = 43 43 + 6a + 2a = 180 Combine like terms: 6a + 2a = 8a 43 + 8a = 180 Solving 43 + 8a = 180 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 8a = 180 + -43 Combine like terms: 43 + -43 = 0 0 + 8a = 180 + -43 8a = 180 + -43 Combine like terms: 180 + -43 = 137 8a = 137 Divide each side by '8'. a = 17.125 Simplifying a = 17.125
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