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Simplifying 14(t + -3) + 7t = 7(3t + 4) + -12 Reorder the terms: 14(-3 + t) + 7t = 7(3t + 4) + -12 (-3 * 14 + t * 14) + 7t = 7(3t + 4) + -12 (-42 + 14t) + 7t = 7(3t + 4) + -12 Combine like terms: 14t + 7t = 21t -42 + 21t = 7(3t + 4) + -12 Reorder the terms: -42 + 21t = 7(4 + 3t) + -12 -42 + 21t = (4 * 7 + 3t * 7) + -12 -42 + 21t = (28 + 21t) + -12 Reorder the terms: -42 + 21t = 28 + -12 + 21t Combine like terms: 28 + -12 = 16 -42 + 21t = 16 + 21t Add '-21t' to each side of the equation. -42 + 21t + -21t = 16 + 21t + -21t Combine like terms: 21t + -21t = 0 -42 + 0 = 16 + 21t + -21t -42 = 16 + 21t + -21t Combine like terms: 21t + -21t = 0 -42 = 16 + 0 -42 = 16 Solving -42 = 16 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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