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Simplifying 10000a + 100b + 4.7 = 8.7 Reorder the terms: 4.7 + 10000a + 100b = 8.7 Solving 4.7 + 10000a + 100b = 8.7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4.7' to each side of the equation. 4.7 + 10000a + -4.7 + 100b = 8.7 + -4.7 Reorder the terms: 4.7 + -4.7 + 10000a + 100b = 8.7 + -4.7 Combine like terms: 4.7 + -4.7 = 0.0 0.0 + 10000a + 100b = 8.7 + -4.7 10000a + 100b = 8.7 + -4.7 Combine like terms: 8.7 + -4.7 = 4 10000a + 100b = 4 Add '-100b' to each side of the equation. 10000a + 100b + -100b = 4 + -100b Combine like terms: 100b + -100b = 0 10000a + 0 = 4 + -100b 10000a = 4 + -100b Divide each side by '10000'. a = 0.0004 + -0.01b Simplifying a = 0.0004 + -0.01b
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