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Simplifying 2 = a(10 + 0)(10 + 100) Combine like terms: 10 + 0 = 10 2 = a(10)(10 + 100) Combine like terms: 10 + 100 = 110 2 = a * 10(110) Reorder the terms for easier multiplication: 2 = 10 * 110a Multiply 10 * 110 2 = 1100a Solving 2 = 1100a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1100a' to each side of the equation. 2 + -1100a = 1100a + -1100a Combine like terms: 1100a + -1100a = 0 2 + -1100a = 0 Add '-2' to each side of the equation. 2 + -2 + -1100a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1100a = 0 + -2 -1100a = 0 + -2 Combine like terms: 0 + -2 = -2 -1100a = -2 Divide each side by '-1100'. a = 0.001818181818 Simplifying a = 0.001818181818
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