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Simplifying 4(t + -5) + 4t = 4(2t + 3) + -9 Reorder the terms: 4(-5 + t) + 4t = 4(2t + 3) + -9 (-5 * 4 + t * 4) + 4t = 4(2t + 3) + -9 (-20 + 4t) + 4t = 4(2t + 3) + -9 Combine like terms: 4t + 4t = 8t -20 + 8t = 4(2t + 3) + -9 Reorder the terms: -20 + 8t = 4(3 + 2t) + -9 -20 + 8t = (3 * 4 + 2t * 4) + -9 -20 + 8t = (12 + 8t) + -9 Reorder the terms: -20 + 8t = 12 + -9 + 8t Combine like terms: 12 + -9 = 3 -20 + 8t = 3 + 8t Add '-8t' to each side of the equation. -20 + 8t + -8t = 3 + 8t + -8t Combine like terms: 8t + -8t = 0 -20 + 0 = 3 + 8t + -8t -20 = 3 + 8t + -8t Combine like terms: 8t + -8t = 0 -20 = 3 + 0 -20 = 3 Solving -20 = 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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