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Simplifying 16(t + -2) + 5t = 7(3t + 3) + -9 Reorder the terms: 16(-2 + t) + 5t = 7(3t + 3) + -9 (-2 * 16 + t * 16) + 5t = 7(3t + 3) + -9 (-32 + 16t) + 5t = 7(3t + 3) + -9 Combine like terms: 16t + 5t = 21t -32 + 21t = 7(3t + 3) + -9 Reorder the terms: -32 + 21t = 7(3 + 3t) + -9 -32 + 21t = (3 * 7 + 3t * 7) + -9 -32 + 21t = (21 + 21t) + -9 Reorder the terms: -32 + 21t = 21 + -9 + 21t Combine like terms: 21 + -9 = 12 -32 + 21t = 12 + 21t Add '-21t' to each side of the equation. -32 + 21t + -21t = 12 + 21t + -21t Combine like terms: 21t + -21t = 0 -32 + 0 = 12 + 21t + -21t -32 = 12 + 21t + -21t Combine like terms: 21t + -21t = 0 -32 = 12 + 0 -32 = 12 Solving -32 = 12 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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