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Simplifying 15(t + -5) + 6t = 7(3t + 4) + -13 Reorder the terms: 15(-5 + t) + 6t = 7(3t + 4) + -13 (-5 * 15 + t * 15) + 6t = 7(3t + 4) + -13 (-75 + 15t) + 6t = 7(3t + 4) + -13 Combine like terms: 15t + 6t = 21t -75 + 21t = 7(3t + 4) + -13 Reorder the terms: -75 + 21t = 7(4 + 3t) + -13 -75 + 21t = (4 * 7 + 3t * 7) + -13 -75 + 21t = (28 + 21t) + -13 Reorder the terms: -75 + 21t = 28 + -13 + 21t Combine like terms: 28 + -13 = 15 -75 + 21t = 15 + 21t Add '-21t' to each side of the equation. -75 + 21t + -21t = 15 + 21t + -21t Combine like terms: 21t + -21t = 0 -75 + 0 = 15 + 21t + -21t -75 = 15 + 21t + -21t Combine like terms: 21t + -21t = 0 -75 = 15 + 0 -75 = 15 Solving -75 = 15 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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