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Simplifying 3(t + -3) + 5t = 4(2t + 3) + -9 Reorder the terms: 3(-3 + t) + 5t = 4(2t + 3) + -9 (-3 * 3 + t * 3) + 5t = 4(2t + 3) + -9 (-9 + 3t) + 5t = 4(2t + 3) + -9 Combine like terms: 3t + 5t = 8t -9 + 8t = 4(2t + 3) + -9 Reorder the terms: -9 + 8t = 4(3 + 2t) + -9 -9 + 8t = (3 * 4 + 2t * 4) + -9 -9 + 8t = (12 + 8t) + -9 Reorder the terms: -9 + 8t = 12 + -9 + 8t Combine like terms: 12 + -9 = 3 -9 + 8t = 3 + 8t Add '-8t' to each side of the equation. -9 + 8t + -8t = 3 + 8t + -8t Combine like terms: 8t + -8t = 0 -9 + 0 = 3 + 8t + -8t -9 = 3 + 8t + -8t Combine like terms: 8t + -8t = 0 -9 = 3 + 0 -9 = 3 Solving -9 = 3 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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