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Simplifying (100 + -1a) + (100 + -1b) + (100 + -1c) = 100 Remove parenthesis around (100 + -1a) 100 + -1a + (100 + -1b) + (100 + -1c) = 100 Remove parenthesis around (100 + -1b) 100 + -1a + 100 + -1b + (100 + -1c) = 100 Remove parenthesis around (100 + -1c) 100 + -1a + 100 + -1b + 100 + -1c = 100 Reorder the terms: 100 + 100 + 100 + -1a + -1b + -1c = 100 Combine like terms: 100 + 100 = 200 200 + 100 + -1a + -1b + -1c = 100 Combine like terms: 200 + 100 = 300 300 + -1a + -1b + -1c = 100 Solving 300 + -1a + -1b + -1c = 100 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-300' to each side of the equation. 300 + -1a + -1b + -300 + -1c = 100 + -300 Reorder the terms: 300 + -300 + -1a + -1b + -1c = 100 + -300 Combine like terms: 300 + -300 = 0 0 + -1a + -1b + -1c = 100 + -300 -1a + -1b + -1c = 100 + -300 Combine like terms: 100 + -300 = -200 -1a + -1b + -1c = -200 Add 'b' to each side of the equation. -1a + -1b + b + -1c = -200 + b Combine like terms: -1b + b = 0 -1a + 0 + -1c = -200 + b -1a + -1c = -200 + b Add 'c' to each side of the equation. -1a + -1c + c = -200 + b + c Combine like terms: -1c + c = 0 -1a + 0 = -200 + b + c -1a = -200 + b + c Divide each side by '-1'. a = 200 + -1b + -1c Simplifying a = 200 + -1b + -1c
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