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Simplifying 14(t + -4) + 7t = 7(3t + 5) + -13 Reorder the terms: 14(-4 + t) + 7t = 7(3t + 5) + -13 (-4 * 14 + t * 14) + 7t = 7(3t + 5) + -13 (-56 + 14t) + 7t = 7(3t + 5) + -13 Combine like terms: 14t + 7t = 21t -56 + 21t = 7(3t + 5) + -13 Reorder the terms: -56 + 21t = 7(5 + 3t) + -13 -56 + 21t = (5 * 7 + 3t * 7) + -13 -56 + 21t = (35 + 21t) + -13 Reorder the terms: -56 + 21t = 35 + -13 + 21t Combine like terms: 35 + -13 = 22 -56 + 21t = 22 + 21t Add '-21t' to each side of the equation. -56 + 21t + -21t = 22 + 21t + -21t Combine like terms: 21t + -21t = 0 -56 + 0 = 22 + 21t + -21t -56 = 22 + 21t + -21t Combine like terms: 21t + -21t = 0 -56 = 22 + 0 -56 = 22 Solving -56 = 22 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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