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Simplifying 4 + -3(t + 2) + t = 5(t + -1) + -7t Reorder the terms: 4 + -3(2 + t) + t = 5(t + -1) + -7t 4 + (2 * -3 + t * -3) + t = 5(t + -1) + -7t 4 + (-6 + -3t) + t = 5(t + -1) + -7t Combine like terms: 4 + -6 = -2 -2 + -3t + t = 5(t + -1) + -7t Combine like terms: -3t + t = -2t -2 + -2t = 5(t + -1) + -7t Reorder the terms: -2 + -2t = 5(-1 + t) + -7t -2 + -2t = (-1 * 5 + t * 5) + -7t -2 + -2t = (-5 + 5t) + -7t Combine like terms: 5t + -7t = -2t -2 + -2t = -5 + -2t Add '2t' to each side of the equation. -2 + -2t + 2t = -5 + -2t + 2t Combine like terms: -2t + 2t = 0 -2 + 0 = -5 + -2t + 2t -2 = -5 + -2t + 2t Combine like terms: -2t + 2t = 0 -2 = -5 + 0 -2 = -5 Solving -2 = -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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