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Simplifying 100 = A * 10 + 5 * 20 + 2 * 30 Reorder the terms for easier multiplication: 100 = 10A + 5 * 20 + 2 * 30 Multiply 5 * 20 100 = 10A + 100 + 2 * 30 Multiply 2 * 30 100 = 10A + 100 + 60 Reorder the terms: 100 = 100 + 60 + 10A Combine like terms: 100 + 60 = 160 100 = 160 + 10A Solving 100 = 160 + 10A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-10A' to each side of the equation. 100 + -10A = 160 + 10A + -10A Combine like terms: 10A + -10A = 0 100 + -10A = 160 + 0 100 + -10A = 160 Add '-100' to each side of the equation. 100 + -100 + -10A = 160 + -100 Combine like terms: 100 + -100 = 0 0 + -10A = 160 + -100 -10A = 160 + -100 Combine like terms: 160 + -100 = 60 -10A = 60 Divide each side by '-10'. A = -6 Simplifying A = -6
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