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Simplifying 15(t + -4) + 6t = 7(3t + 5) + -12 Reorder the terms: 15(-4 + t) + 6t = 7(3t + 5) + -12 (-4 * 15 + t * 15) + 6t = 7(3t + 5) + -12 (-60 + 15t) + 6t = 7(3t + 5) + -12 Combine like terms: 15t + 6t = 21t -60 + 21t = 7(3t + 5) + -12 Reorder the terms: -60 + 21t = 7(5 + 3t) + -12 -60 + 21t = (5 * 7 + 3t * 7) + -12 -60 + 21t = (35 + 21t) + -12 Reorder the terms: -60 + 21t = 35 + -12 + 21t Combine like terms: 35 + -12 = 23 -60 + 21t = 23 + 21t Add '-21t' to each side of the equation. -60 + 21t + -21t = 23 + 21t + -21t Combine like terms: 21t + -21t = 0 -60 + 0 = 23 + 21t + -21t -60 = 23 + 21t + -21t Combine like terms: 21t + -21t = 0 -60 = 23 + 0 -60 = 23 Solving -60 = 23 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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