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Simplifying 16(t + -6) + 5t = 7(3t + 4) + -11 Reorder the terms: 16(-6 + t) + 5t = 7(3t + 4) + -11 (-6 * 16 + t * 16) + 5t = 7(3t + 4) + -11 (-96 + 16t) + 5t = 7(3t + 4) + -11 Combine like terms: 16t + 5t = 21t -96 + 21t = 7(3t + 4) + -11 Reorder the terms: -96 + 21t = 7(4 + 3t) + -11 -96 + 21t = (4 * 7 + 3t * 7) + -11 -96 + 21t = (28 + 21t) + -11 Reorder the terms: -96 + 21t = 28 + -11 + 21t Combine like terms: 28 + -11 = 17 -96 + 21t = 17 + 21t Add '-21t' to each side of the equation. -96 + 21t + -21t = 17 + 21t + -21t Combine like terms: 21t + -21t = 0 -96 + 0 = 17 + 21t + -21t -96 = 17 + 21t + -21t Combine like terms: 21t + -21t = 0 -96 = 17 + 0 -96 = 17 Solving -96 = 17 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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