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Simplifying 9(T + -4) + 6T = 5(3T + 5) + -13 Reorder the terms: 9(-4 + T) + 6T = 5(3T + 5) + -13 (-4 * 9 + T * 9) + 6T = 5(3T + 5) + -13 (-36 + 9T) + 6T = 5(3T + 5) + -13 Combine like terms: 9T + 6T = 15T -36 + 15T = 5(3T + 5) + -13 Reorder the terms: -36 + 15T = 5(5 + 3T) + -13 -36 + 15T = (5 * 5 + 3T * 5) + -13 -36 + 15T = (25 + 15T) + -13 Reorder the terms: -36 + 15T = 25 + -13 + 15T Combine like terms: 25 + -13 = 12 -36 + 15T = 12 + 15T Add '-15T' to each side of the equation. -36 + 15T + -15T = 12 + 15T + -15T Combine like terms: 15T + -15T = 0 -36 + 0 = 12 + 15T + -15T -36 = 12 + 15T + -15T Combine like terms: 15T + -15T = 0 -36 = 12 + 0 -36 = 12 Solving -36 = 12 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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