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Simplifying 4t(7t + -5k) = 3k Reorder the terms: 4t(-5k + 7t) = 3k (-5k * 4t + 7t * 4t) = 3k (-20kt + 28t2) = 3k Solving -20kt + 28t2 = 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -20kt + -3k + 28t2 = 3k + -3k Reorder the terms: -3k + -20kt + 28t2 = 3k + -3k Combine like terms: 3k + -3k = 0 -3k + -20kt + 28t2 = 0 Add '-28t2' to each side of the equation. -3k + -20kt + 28t2 + -28t2 = 0 + -28t2 Combine like terms: 28t2 + -28t2 = 0 -3k + -20kt + 0 = 0 + -28t2 -3k + -20kt = 0 + -28t2 Remove the zero: -3k + -20kt = -28t2 Combine like terms: -28t2 + 28t2 = 0 -3k + -20kt + 28t2 = 0 The solution to this equation could not be determined.
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