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Simplifying 16(t + -4) + 5t = 7(3t + 3) + -10 Reorder the terms: 16(-4 + t) + 5t = 7(3t + 3) + -10 (-4 * 16 + t * 16) + 5t = 7(3t + 3) + -10 (-64 + 16t) + 5t = 7(3t + 3) + -10 Combine like terms: 16t + 5t = 21t -64 + 21t = 7(3t + 3) + -10 Reorder the terms: -64 + 21t = 7(3 + 3t) + -10 -64 + 21t = (3 * 7 + 3t * 7) + -10 -64 + 21t = (21 + 21t) + -10 Reorder the terms: -64 + 21t = 21 + -10 + 21t Combine like terms: 21 + -10 = 11 -64 + 21t = 11 + 21t Add '-21t' to each side of the equation. -64 + 21t + -21t = 11 + 21t + -21t Combine like terms: 21t + -21t = 0 -64 + 0 = 11 + 21t + -21t -64 = 11 + 21t + -21t Combine like terms: 21t + -21t = 0 -64 = 11 + 0 -64 = 11 Solving -64 = 11 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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