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Simplifying 5(t + -5) + 7t = 4(3t + 4) + -13 Reorder the terms: 5(-5 + t) + 7t = 4(3t + 4) + -13 (-5 * 5 + t * 5) + 7t = 4(3t + 4) + -13 (-25 + 5t) + 7t = 4(3t + 4) + -13 Combine like terms: 5t + 7t = 12t -25 + 12t = 4(3t + 4) + -13 Reorder the terms: -25 + 12t = 4(4 + 3t) + -13 -25 + 12t = (4 * 4 + 3t * 4) + -13 -25 + 12t = (16 + 12t) + -13 Reorder the terms: -25 + 12t = 16 + -13 + 12t Combine like terms: 16 + -13 = 3 -25 + 12t = 3 + 12t Add '-12t' to each side of the equation. -25 + 12t + -12t = 3 + 12t + -12t Combine like terms: 12t + -12t = 0 -25 + 0 = 3 + 12t + -12t -25 = 3 + 12t + -12t Combine like terms: 12t + -12t = 0 -25 = 3 + 0 -25 = 3 Solving -25 = 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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