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Simplifying 15(t + -5) + 3t = 6(3t + 5) + -9 Reorder the terms: 15(-5 + t) + 3t = 6(3t + 5) + -9 (-5 * 15 + t * 15) + 3t = 6(3t + 5) + -9 (-75 + 15t) + 3t = 6(3t + 5) + -9 Combine like terms: 15t + 3t = 18t -75 + 18t = 6(3t + 5) + -9 Reorder the terms: -75 + 18t = 6(5 + 3t) + -9 -75 + 18t = (5 * 6 + 3t * 6) + -9 -75 + 18t = (30 + 18t) + -9 Reorder the terms: -75 + 18t = 30 + -9 + 18t Combine like terms: 30 + -9 = 21 -75 + 18t = 21 + 18t Add '-18t' to each side of the equation. -75 + 18t + -18t = 21 + 18t + -18t Combine like terms: 18t + -18t = 0 -75 + 0 = 21 + 18t + -18t -75 = 21 + 18t + -18t Combine like terms: 18t + -18t = 0 -75 = 21 + 0 -75 = 21 Solving -75 = 21 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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