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