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Simplifying 16(t + -3) + 5t = 7(3t + 5) + -9 Reorder the terms: 16(-3 + t) + 5t = 7(3t + 5) + -9 (-3 * 16 + t * 16) + 5t = 7(3t + 5) + -9 (-48 + 16t) + 5t = 7(3t + 5) + -9 Combine like terms: 16t + 5t = 21t -48 + 21t = 7(3t + 5) + -9 Reorder the terms: -48 + 21t = 7(5 + 3t) + -9 -48 + 21t = (5 * 7 + 3t * 7) + -9 -48 + 21t = (35 + 21t) + -9 Reorder the terms: -48 + 21t = 35 + -9 + 21t Combine like terms: 35 + -9 = 26 -48 + 21t = 26 + 21t Add '-21t' to each side of the equation. -48 + 21t + -21t = 26 + 21t + -21t Combine like terms: 21t + -21t = 0 -48 + 0 = 26 + 21t + -21t -48 = 26 + 21t + -21t Combine like terms: 21t + -21t = 0 -48 = 26 + 0 -48 = 26 Solving -48 = 26 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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