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Simplifying -30(a + -32) + -29 = 43a + 10 Reorder the terms: -30(-32 + a) + -29 = 43a + 10 (-32 * -30 + a * -30) + -29 = 43a + 10 (960 + -30a) + -29 = 43a + 10 Reorder the terms: 960 + -29 + -30a = 43a + 10 Combine like terms: 960 + -29 = 931 931 + -30a = 43a + 10 Reorder the terms: 931 + -30a = 10 + 43a Solving 931 + -30a = 10 + 43a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-43a' to each side of the equation. 931 + -30a + -43a = 10 + 43a + -43a Combine like terms: -30a + -43a = -73a 931 + -73a = 10 + 43a + -43a Combine like terms: 43a + -43a = 0 931 + -73a = 10 + 0 931 + -73a = 10 Add '-931' to each side of the equation. 931 + -931 + -73a = 10 + -931 Combine like terms: 931 + -931 = 0 0 + -73a = 10 + -931 -73a = 10 + -931 Combine like terms: 10 + -931 = -921 -73a = -921 Divide each side by '-73'. a = 12.61643836 Simplifying a = 12.61643836
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