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Simplifying 32000 = (0.25a + 0.20b + 0.17c) + -100 Remove parenthesis around (0.25a + 0.20b + 0.17c) 32000 = 0.25a + 0.20b + 0.17c + -100 Reorder the terms: 32000 = -100 + 0.25a + 0.20b + 0.17c Solving 32000 = -100 + 0.25a + 0.20b + 0.17c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.25a' to each side of the equation. 32000 + -0.25a = -100 + 0.25a + 0.20b + -0.25a + 0.17c Reorder the terms: 32000 + -0.25a = -100 + 0.25a + -0.25a + 0.20b + 0.17c Combine like terms: 0.25a + -0.25a = 0.00 32000 + -0.25a = -100 + 0.00 + 0.20b + 0.17c 32000 + -0.25a = -100 + 0.20b + 0.17c Add '-32000' to each side of the equation. 32000 + -32000 + -0.25a = -100 + 0.20b + -32000 + 0.17c Combine like terms: 32000 + -32000 = 0 0 + -0.25a = -100 + 0.20b + -32000 + 0.17c -0.25a = -100 + 0.20b + -32000 + 0.17c Reorder the terms: -0.25a = -100 + -32000 + 0.20b + 0.17c Combine like terms: -100 + -32000 = -32100 -0.25a = -32100 + 0.20b + 0.17c Divide each side by '-0.25'. a = 128400 + -0.8b + -0.68c Simplifying a = 128400 + -0.8b + -0.68c
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