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Simplifying 4(t + -5) + 8t = 6(2t + 4) + -9 Reorder the terms: 4(-5 + t) + 8t = 6(2t + 4) + -9 (-5 * 4 + t * 4) + 8t = 6(2t + 4) + -9 (-20 + 4t) + 8t = 6(2t + 4) + -9 Combine like terms: 4t + 8t = 12t -20 + 12t = 6(2t + 4) + -9 Reorder the terms: -20 + 12t = 6(4 + 2t) + -9 -20 + 12t = (4 * 6 + 2t * 6) + -9 -20 + 12t = (24 + 12t) + -9 Reorder the terms: -20 + 12t = 24 + -9 + 12t Combine like terms: 24 + -9 = 15 -20 + 12t = 15 + 12t Add '-12t' to each side of the equation. -20 + 12t + -12t = 15 + 12t + -12t Combine like terms: 12t + -12t = 0 -20 + 0 = 15 + 12t + -12t -20 = 15 + 12t + -12t Combine like terms: 12t + -12t = 0 -20 = 15 + 0 -20 = 15 Solving -20 = 15 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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