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Simplifying (97 + -1b) * 0.4 + (97 + -1a) * 0.4 = 388 Reorder the terms for easier multiplication: 0.4(97 + -1b) + (97 + -1a) * 0.4 = 388 (97 * 0.4 + -1b * 0.4) + (97 + -1a) * 0.4 = 388 (38.8 + -0.4b) + (97 + -1a) * 0.4 = 388 Reorder the terms for easier multiplication: 38.8 + -0.4b + 0.4(97 + -1a) = 388 38.8 + -0.4b + (97 * 0.4 + -1a * 0.4) = 388 38.8 + -0.4b + (38.8 + -0.4a) = 388 Reorder the terms: 38.8 + 38.8 + -0.4a + -0.4b = 388 Combine like terms: 38.8 + 38.8 = 77.6 77.6 + -0.4a + -0.4b = 388 Solving 77.6 + -0.4a + -0.4b = 388 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-77.6' to each side of the equation. 77.6 + -0.4a + -77.6 + -0.4b = 388 + -77.6 Reorder the terms: 77.6 + -77.6 + -0.4a + -0.4b = 388 + -77.6 Combine like terms: 77.6 + -77.6 = 0.0 0.0 + -0.4a + -0.4b = 388 + -77.6 -0.4a + -0.4b = 388 + -77.6 Combine like terms: 388 + -77.6 = 310.4 -0.4a + -0.4b = 310.4 Add '0.4b' to each side of the equation. -0.4a + -0.4b + 0.4b = 310.4 + 0.4b Combine like terms: -0.4b + 0.4b = 0.0 -0.4a + 0.0 = 310.4 + 0.4b -0.4a = 310.4 + 0.4b Divide each side by '-0.4'. a = -776 + -1b Simplifying a = -776 + -1b
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