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Simplifying 14(t + -3) + 7t = 7(3t + 2) + -8 Reorder the terms: 14(-3 + t) + 7t = 7(3t + 2) + -8 (-3 * 14 + t * 14) + 7t = 7(3t + 2) + -8 (-42 + 14t) + 7t = 7(3t + 2) + -8 Combine like terms: 14t + 7t = 21t -42 + 21t = 7(3t + 2) + -8 Reorder the terms: -42 + 21t = 7(2 + 3t) + -8 -42 + 21t = (2 * 7 + 3t * 7) + -8 -42 + 21t = (14 + 21t) + -8 Reorder the terms: -42 + 21t = 14 + -8 + 21t Combine like terms: 14 + -8 = 6 -42 + 21t = 6 + 21t Add '-21t' to each side of the equation. -42 + 21t + -21t = 6 + 21t + -21t Combine like terms: 21t + -21t = 0 -42 + 0 = 6 + 21t + -21t -42 = 6 + 21t + -21t Combine like terms: 21t + -21t = 0 -42 = 6 + 0 -42 = 6 Solving -42 = 6 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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