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Simplifying 8(T + -6) + 7T = 5(3T + 4) + -11 Reorder the terms: 8(-6 + T) + 7T = 5(3T + 4) + -11 (-6 * 8 + T * 8) + 7T = 5(3T + 4) + -11 (-48 + 8T) + 7T = 5(3T + 4) + -11 Combine like terms: 8T + 7T = 15T -48 + 15T = 5(3T + 4) + -11 Reorder the terms: -48 + 15T = 5(4 + 3T) + -11 -48 + 15T = (4 * 5 + 3T * 5) + -11 -48 + 15T = (20 + 15T) + -11 Reorder the terms: -48 + 15T = 20 + -11 + 15T Combine like terms: 20 + -11 = 9 -48 + 15T = 9 + 15T Add '-15T' to each side of the equation. -48 + 15T + -15T = 9 + 15T + -15T Combine like terms: 15T + -15T = 0 -48 + 0 = 9 + 15T + -15T -48 = 9 + 15T + -15T Combine like terms: 15T + -15T = 0 -48 = 9 + 0 -48 = 9 Solving -48 = 9 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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