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Simplifying 3t + -2(t + -5) = 4t + -3 + -1(3t + -8) Reorder the terms: 3t + -2(-5 + t) = 4t + -3 + -1(3t + -8) 3t + (-5 * -2 + t * -2) = 4t + -3 + -1(3t + -8) 3t + (10 + -2t) = 4t + -3 + -1(3t + -8) Reorder the terms: 10 + 3t + -2t = 4t + -3 + -1(3t + -8) Combine like terms: 3t + -2t = 1t 10 + 1t = 4t + -3 + -1(3t + -8) Reorder the terms: 10 + 1t = 4t + -3 + -1(-8 + 3t) 10 + 1t = 4t + -3 + (-8 * -1 + 3t * -1) 10 + 1t = 4t + -3 + (8 + -3t) Reorder the terms: 10 + 1t = -3 + 8 + 4t + -3t Combine like terms: -3 + 8 = 5 10 + 1t = 5 + 4t + -3t Combine like terms: 4t + -3t = 1t 10 + 1t = 5 + 1t Add '-1t' to each side of the equation. 10 + 1t + -1t = 5 + 1t + -1t Combine like terms: 1t + -1t = 0 10 + 0 = 5 + 1t + -1t 10 = 5 + 1t + -1t Combine like terms: 1t + -1t = 0 10 = 5 + 0 10 = 5 Solving 10 = 5 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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