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Simplifying 7c(a2 + -1b) + -5d(a2 + -1b) + 2f(a2 + -1b) = 0 (a2 * 7c + -1b * 7c) + -5d(a2 + -1b) + 2f(a2 + -1b) = 0 (7a2c + -7bc) + -5d(a2 + -1b) + 2f(a2 + -1b) = 0 7a2c + -7bc + (a2 * -5d + -1b * -5d) + 2f(a2 + -1b) = 0 7a2c + -7bc + (-5a2d + 5bd) + 2f(a2 + -1b) = 0 7a2c + -7bc + -5a2d + 5bd + (a2 * 2f + -1b * 2f) = 0 7a2c + -7bc + -5a2d + 5bd + (2a2f + -2bf) = 0 Reorder the terms: 7a2c + -5a2d + 2a2f + -7bc + 5bd + -2bf = 0 Solving 7a2c + -5a2d + 2a2f + -7bc + 5bd + -2bf = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7bc' to each side of the equation. 7a2c + -5a2d + 2a2f + -7bc + 5bd + 7bc + -2bf = 0 + 7bc Reorder the terms: 7a2c + -5a2d + 2a2f + -7bc + 7bc + 5bd + -2bf = 0 + 7bc Combine like terms: -7bc + 7bc = 0 7a2c + -5a2d + 2a2f + 0 + 5bd + -2bf = 0 + 7bc 7a2c + -5a2d + 2a2f + 5bd + -2bf = 0 + 7bc Remove the zero: 7a2c + -5a2d + 2a2f + 5bd + -2bf = 7bc Add '-5bd' to each side of the equation. 7a2c + -5a2d + 2a2f + 5bd + -5bd + -2bf = 7bc + -5bd Combine like terms: 5bd + -5bd = 0 7a2c + -5a2d + 2a2f + 0 + -2bf = 7bc + -5bd 7a2c + -5a2d + 2a2f + -2bf = 7bc + -5bd Add '2bf' to each side of the equation. 7a2c + -5a2d + 2a2f + -2bf + 2bf = 7bc + -5bd + 2bf Combine like terms: -2bf + 2bf = 0 7a2c + -5a2d + 2a2f + 0 = 7bc + -5bd + 2bf 7a2c + -5a2d + 2a2f = 7bc + -5bd + 2bf Reorder the terms: 7a2c + -5a2d + 2a2f + -7bc + 5bd + -2bf = 7bc + -7bc + -5bd + 5bd + 2bf + -2bf Combine like terms: 7bc + -7bc = 0 7a2c + -5a2d + 2a2f + -7bc + 5bd + -2bf = 0 + -5bd + 5bd + 2bf + -2bf 7a2c + -5a2d + 2a2f + -7bc + 5bd + -2bf = -5bd + 5bd + 2bf + -2bf Combine like terms: -5bd + 5bd = 0 7a2c + -5a2d + 2a2f + -7bc + 5bd + -2bf = 0 + 2bf + -2bf 7a2c + -5a2d + 2a2f + -7bc + 5bd + -2bf = 2bf + -2bf Combine like terms: 2bf + -2bf = 0 7a2c + -5a2d + 2a2f + -7bc + 5bd + -2bf = 0 The solution to this equation could not be determined.
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