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Simplifying 15(t + -3) + 6t = 7(3t + 5) + -8 Reorder the terms: 15(-3 + t) + 6t = 7(3t + 5) + -8 (-3 * 15 + t * 15) + 6t = 7(3t + 5) + -8 (-45 + 15t) + 6t = 7(3t + 5) + -8 Combine like terms: 15t + 6t = 21t -45 + 21t = 7(3t + 5) + -8 Reorder the terms: -45 + 21t = 7(5 + 3t) + -8 -45 + 21t = (5 * 7 + 3t * 7) + -8 -45 + 21t = (35 + 21t) + -8 Reorder the terms: -45 + 21t = 35 + -8 + 21t Combine like terms: 35 + -8 = 27 -45 + 21t = 27 + 21t Add '-21t' to each side of the equation. -45 + 21t + -21t = 27 + 21t + -21t Combine like terms: 21t + -21t = 0 -45 + 0 = 27 + 21t + -21t -45 = 27 + 21t + -21t Combine like terms: 21t + -21t = 0 -45 = 27 + 0 -45 = 27 Solving -45 = 27 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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