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Simplifying 8(T + -2) + 7T = 5(3T + 4) + -10 Reorder the terms: 8(-2 + T) + 7T = 5(3T + 4) + -10 (-2 * 8 + T * 8) + 7T = 5(3T + 4) + -10 (-16 + 8T) + 7T = 5(3T + 4) + -10 Combine like terms: 8T + 7T = 15T -16 + 15T = 5(3T + 4) + -10 Reorder the terms: -16 + 15T = 5(4 + 3T) + -10 -16 + 15T = (4 * 5 + 3T * 5) + -10 -16 + 15T = (20 + 15T) + -10 Reorder the terms: -16 + 15T = 20 + -10 + 15T Combine like terms: 20 + -10 = 10 -16 + 15T = 10 + 15T Add '-15T' to each side of the equation. -16 + 15T + -15T = 10 + 15T + -15T Combine like terms: 15T + -15T = 0 -16 + 0 = 10 + 15T + -15T -16 = 10 + 15T + -15T Combine like terms: 15T + -15T = 0 -16 = 10 + 0 -16 = 10 Solving -16 = 10 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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