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Simplifying 16(t + -5) + 5t = 7(3t + 2) + -9 Reorder the terms: 16(-5 + t) + 5t = 7(3t + 2) + -9 (-5 * 16 + t * 16) + 5t = 7(3t + 2) + -9 (-80 + 16t) + 5t = 7(3t + 2) + -9 Combine like terms: 16t + 5t = 21t -80 + 21t = 7(3t + 2) + -9 Reorder the terms: -80 + 21t = 7(2 + 3t) + -9 -80 + 21t = (2 * 7 + 3t * 7) + -9 -80 + 21t = (14 + 21t) + -9 Reorder the terms: -80 + 21t = 14 + -9 + 21t Combine like terms: 14 + -9 = 5 -80 + 21t = 5 + 21t Add '-21t' to each side of the equation. -80 + 21t + -21t = 5 + 21t + -21t Combine like terms: 21t + -21t = 0 -80 + 0 = 5 + 21t + -21t -80 = 5 + 21t + -21t Combine like terms: 21t + -21t = 0 -80 = 5 + 0 -80 = 5 Solving -80 = 5 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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