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Simplifying 14(t + -2) + 7t = 7(3t + 3) + -12 Reorder the terms: 14(-2 + t) + 7t = 7(3t + 3) + -12 (-2 * 14 + t * 14) + 7t = 7(3t + 3) + -12 (-28 + 14t) + 7t = 7(3t + 3) + -12 Combine like terms: 14t + 7t = 21t -28 + 21t = 7(3t + 3) + -12 Reorder the terms: -28 + 21t = 7(3 + 3t) + -12 -28 + 21t = (3 * 7 + 3t * 7) + -12 -28 + 21t = (21 + 21t) + -12 Reorder the terms: -28 + 21t = 21 + -12 + 21t Combine like terms: 21 + -12 = 9 -28 + 21t = 9 + 21t Add '-21t' to each side of the equation. -28 + 21t + -21t = 9 + 21t + -21t Combine like terms: 21t + -21t = 0 -28 + 0 = 9 + 21t + -21t -28 = 9 + 21t + -21t Combine like terms: 21t + -21t = 0 -28 = 9 + 0 -28 = 9 Solving -28 = 9 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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