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Simplifying a * 10 + b * 20 + c * 30 = 3500 Reorder the terms for easier multiplication: 10a + b * 20 + c * 30 = 3500 Reorder the terms for easier multiplication: 10a + 20b + c * 30 = 3500 Reorder the terms for easier multiplication: 10a + 20b + 30c = 3500 Solving 10a + 20b + 30c = 3500 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20b' to each side of the equation. 10a + 20b + -20b + 30c = 3500 + -20b Combine like terms: 20b + -20b = 0 10a + 0 + 30c = 3500 + -20b 10a + 30c = 3500 + -20b Add '-30c' to each side of the equation. 10a + 30c + -30c = 3500 + -20b + -30c Combine like terms: 30c + -30c = 0 10a + 0 = 3500 + -20b + -30c 10a = 3500 + -20b + -30c Divide each side by '10'. a = 350 + -2b + -3c Simplifying a = 350 + -2b + -3c
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