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Simplifying 5(t + -4) + 3t = 4(2t + 4) + -8 Reorder the terms: 5(-4 + t) + 3t = 4(2t + 4) + -8 (-4 * 5 + t * 5) + 3t = 4(2t + 4) + -8 (-20 + 5t) + 3t = 4(2t + 4) + -8 Combine like terms: 5t + 3t = 8t -20 + 8t = 4(2t + 4) + -8 Reorder the terms: -20 + 8t = 4(4 + 2t) + -8 -20 + 8t = (4 * 4 + 2t * 4) + -8 -20 + 8t = (16 + 8t) + -8 Reorder the terms: -20 + 8t = 16 + -8 + 8t Combine like terms: 16 + -8 = 8 -20 + 8t = 8 + 8t Add '-8t' to each side of the equation. -20 + 8t + -8t = 8 + 8t + -8t Combine like terms: 8t + -8t = 0 -20 + 0 = 8 + 8t + -8t -20 = 8 + 8t + -8t Combine like terms: 8t + -8t = 0 -20 = 8 + 0 -20 = 8 Solving -20 = 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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