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Simplifying 5(t + -5) + 7t = 6(2t + 3) + -8 Reorder the terms: 5(-5 + t) + 7t = 6(2t + 3) + -8 (-5 * 5 + t * 5) + 7t = 6(2t + 3) + -8 (-25 + 5t) + 7t = 6(2t + 3) + -8 Combine like terms: 5t + 7t = 12t -25 + 12t = 6(2t + 3) + -8 Reorder the terms: -25 + 12t = 6(3 + 2t) + -8 -25 + 12t = (3 * 6 + 2t * 6) + -8 -25 + 12t = (18 + 12t) + -8 Reorder the terms: -25 + 12t = 18 + -8 + 12t Combine like terms: 18 + -8 = 10 -25 + 12t = 10 + 12t Add '-12t' to each side of the equation. -25 + 12t + -12t = 10 + 12t + -12t Combine like terms: 12t + -12t = 0 -25 + 0 = 10 + 12t + -12t -25 = 10 + 12t + -12t Combine like terms: 12t + -12t = 0 -25 = 10 + 0 -25 = 10 Solving -25 = 10 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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