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Simplifying 15(t + -3) + 6t = 7(3t + 5) + -9 Reorder the terms: 15(-3 + t) + 6t = 7(3t + 5) + -9 (-3 * 15 + t * 15) + 6t = 7(3t + 5) + -9 (-45 + 15t) + 6t = 7(3t + 5) + -9 Combine like terms: 15t + 6t = 21t -45 + 21t = 7(3t + 5) + -9 Reorder the terms: -45 + 21t = 7(5 + 3t) + -9 -45 + 21t = (5 * 7 + 3t * 7) + -9 -45 + 21t = (35 + 21t) + -9 Reorder the terms: -45 + 21t = 35 + -9 + 21t Combine like terms: 35 + -9 = 26 -45 + 21t = 26 + 21t Add '-21t' to each side of the equation. -45 + 21t + -21t = 26 + 21t + -21t Combine like terms: 21t + -21t = 0 -45 + 0 = 26 + 21t + -21t -45 = 26 + 21t + -21t Combine like terms: 21t + -21t = 0 -45 = 26 + 0 -45 = 26 Solving -45 = 26 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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