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Simplifying f(a + b) = 8(8a + 5 + b) + 5 (a * f + b * f) = 8(8a + 5 + b) + 5 (af + bf) = 8(8a + 5 + b) + 5 Reorder the terms: af + bf = 8(5 + 8a + b) + 5 af + bf = (5 * 8 + 8a * 8 + b * 8) + 5 af + bf = (40 + 64a + 8b) + 5 Reorder the terms: af + bf = 40 + 5 + 64a + 8b Combine like terms: 40 + 5 = 45 af + bf = 45 + 64a + 8b Solving af + bf = 45 + 64a + 8b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-64a' to each side of the equation. af + -64a + bf = 45 + 64a + -64a + 8b Reorder the terms: -64a + af + bf = 45 + 64a + -64a + 8b Combine like terms: 64a + -64a = 0 -64a + af + bf = 45 + 0 + 8b -64a + af + bf = 45 + 8b Add '-1bf' to each side of the equation. -64a + af + bf + -1bf = 45 + 8b + -1bf Combine like terms: bf + -1bf = 0 -64a + af + 0 = 45 + 8b + -1bf -64a + af = 45 + 8b + -1bf Reorder the terms: -45 + -64a + af + -8b + bf = 45 + 8b + -1bf + -45 + -8b + bf Reorder the terms: -45 + -64a + af + -8b + bf = 45 + -45 + 8b + -8b + -1bf + bf Combine like terms: 45 + -45 = 0 -45 + -64a + af + -8b + bf = 0 + 8b + -8b + -1bf + bf -45 + -64a + af + -8b + bf = 8b + -8b + -1bf + bf Combine like terms: 8b + -8b = 0 -45 + -64a + af + -8b + bf = 0 + -1bf + bf -45 + -64a + af + -8b + bf = -1bf + bf Combine like terms: -1bf + bf = 0 -45 + -64a + af + -8b + bf = 0 The solution to this equation could not be determined.
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