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Simplifying 5(t + -3) + -2t = 3t + -8 Reorder the terms: 5(-3 + t) + -2t = 3t + -8 (-3 * 5 + t * 5) + -2t = 3t + -8 (-15 + 5t) + -2t = 3t + -8 Combine like terms: 5t + -2t = 3t -15 + 3t = 3t + -8 Reorder the terms: -15 + 3t = -8 + 3t Add '-3t' to each side of the equation. -15 + 3t + -3t = -8 + 3t + -3t Combine like terms: 3t + -3t = 0 -15 + 0 = -8 + 3t + -3t -15 = -8 + 3t + -3t Combine like terms: 3t + -3t = 0 -15 = -8 + 0 -15 = -8 Solving -15 = -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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