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Simplifying 17(t + -5) + 4t = 7(3t + 3) + -12 Reorder the terms: 17(-5 + t) + 4t = 7(3t + 3) + -12 (-5 * 17 + t * 17) + 4t = 7(3t + 3) + -12 (-85 + 17t) + 4t = 7(3t + 3) + -12 Combine like terms: 17t + 4t = 21t -85 + 21t = 7(3t + 3) + -12 Reorder the terms: -85 + 21t = 7(3 + 3t) + -12 -85 + 21t = (3 * 7 + 3t * 7) + -12 -85 + 21t = (21 + 21t) + -12 Reorder the terms: -85 + 21t = 21 + -12 + 21t Combine like terms: 21 + -12 = 9 -85 + 21t = 9 + 21t Add '-21t' to each side of the equation. -85 + 21t + -21t = 9 + 21t + -21t Combine like terms: 21t + -21t = 0 -85 + 0 = 9 + 21t + -21t -85 = 9 + 21t + -21t Combine like terms: 21t + -21t = 0 -85 = 9 + 0 -85 = 9 Solving -85 = 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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