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Simplifying 9(t + -4) + 3t = 4(3t + 5) + -13 Reorder the terms: 9(-4 + t) + 3t = 4(3t + 5) + -13 (-4 * 9 + t * 9) + 3t = 4(3t + 5) + -13 (-36 + 9t) + 3t = 4(3t + 5) + -13 Combine like terms: 9t + 3t = 12t -36 + 12t = 4(3t + 5) + -13 Reorder the terms: -36 + 12t = 4(5 + 3t) + -13 -36 + 12t = (5 * 4 + 3t * 4) + -13 -36 + 12t = (20 + 12t) + -13 Reorder the terms: -36 + 12t = 20 + -13 + 12t Combine like terms: 20 + -13 = 7 -36 + 12t = 7 + 12t Add '-12t' to each side of the equation. -36 + 12t + -12t = 7 + 12t + -12t Combine like terms: 12t + -12t = 0 -36 + 0 = 7 + 12t + -12t -36 = 7 + 12t + -12t Combine like terms: 12t + -12t = 0 -36 = 7 + 0 -36 = 7 Solving -36 = 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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