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Simplifying 14(t + -5) + 7t = 7(3t + 5) + -12 Reorder the terms: 14(-5 + t) + 7t = 7(3t + 5) + -12 (-5 * 14 + t * 14) + 7t = 7(3t + 5) + -12 (-70 + 14t) + 7t = 7(3t + 5) + -12 Combine like terms: 14t + 7t = 21t -70 + 21t = 7(3t + 5) + -12 Reorder the terms: -70 + 21t = 7(5 + 3t) + -12 -70 + 21t = (5 * 7 + 3t * 7) + -12 -70 + 21t = (35 + 21t) + -12 Reorder the terms: -70 + 21t = 35 + -12 + 21t Combine like terms: 35 + -12 = 23 -70 + 21t = 23 + 21t Add '-21t' to each side of the equation. -70 + 21t + -21t = 23 + 21t + -21t Combine like terms: 21t + -21t = 0 -70 + 0 = 23 + 21t + -21t -70 = 23 + 21t + -21t Combine like terms: 21t + -21t = 0 -70 = 23 + 0 -70 = 23 Solving -70 = 23 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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