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Simplifying 14(t + -4) + 7t = 7(3t + 4) + -10 Reorder the terms: 14(-4 + t) + 7t = 7(3t + 4) + -10 (-4 * 14 + t * 14) + 7t = 7(3t + 4) + -10 (-56 + 14t) + 7t = 7(3t + 4) + -10 Combine like terms: 14t + 7t = 21t -56 + 21t = 7(3t + 4) + -10 Reorder the terms: -56 + 21t = 7(4 + 3t) + -10 -56 + 21t = (4 * 7 + 3t * 7) + -10 -56 + 21t = (28 + 21t) + -10 Reorder the terms: -56 + 21t = 28 + -10 + 21t Combine like terms: 28 + -10 = 18 -56 + 21t = 18 + 21t Add '-21t' to each side of the equation. -56 + 21t + -21t = 18 + 21t + -21t Combine like terms: 21t + -21t = 0 -56 + 0 = 18 + 21t + -21t -56 = 18 + 21t + -21t Combine like terms: 21t + -21t = 0 -56 = 18 + 0 -56 = 18 Solving -56 = 18 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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