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Simplifying 16(t + -2) + 5t = 7(3t + 2) + -12 Reorder the terms: 16(-2 + t) + 5t = 7(3t + 2) + -12 (-2 * 16 + t * 16) + 5t = 7(3t + 2) + -12 (-32 + 16t) + 5t = 7(3t + 2) + -12 Combine like terms: 16t + 5t = 21t -32 + 21t = 7(3t + 2) + -12 Reorder the terms: -32 + 21t = 7(2 + 3t) + -12 -32 + 21t = (2 * 7 + 3t * 7) + -12 -32 + 21t = (14 + 21t) + -12 Reorder the terms: -32 + 21t = 14 + -12 + 21t Combine like terms: 14 + -12 = 2 -32 + 21t = 2 + 21t Add '-21t' to each side of the equation. -32 + 21t + -21t = 2 + 21t + -21t Combine like terms: 21t + -21t = 0 -32 + 0 = 2 + 21t + -21t -32 = 2 + 21t + -21t Combine like terms: 21t + -21t = 0 -32 = 2 + 0 -32 = 2 Solving -32 = 2 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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