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Simplifying 7(t + -5) + 5t = 4(3t + 5) + -13 Reorder the terms: 7(-5 + t) + 5t = 4(3t + 5) + -13 (-5 * 7 + t * 7) + 5t = 4(3t + 5) + -13 (-35 + 7t) + 5t = 4(3t + 5) + -13 Combine like terms: 7t + 5t = 12t -35 + 12t = 4(3t + 5) + -13 Reorder the terms: -35 + 12t = 4(5 + 3t) + -13 -35 + 12t = (5 * 4 + 3t * 4) + -13 -35 + 12t = (20 + 12t) + -13 Reorder the terms: -35 + 12t = 20 + -13 + 12t Combine like terms: 20 + -13 = 7 -35 + 12t = 7 + 12t Add '-12t' to each side of the equation. -35 + 12t + -12t = 7 + 12t + -12t Combine like terms: 12t + -12t = 0 -35 + 0 = 7 + 12t + -12t -35 = 7 + 12t + -12t Combine like terms: 12t + -12t = 0 -35 = 7 + 0 -35 = 7 Solving -35 = 7 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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