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Simplifying 18(t + -4) + 3t = 7(3t + 5) + -9 Reorder the terms: 18(-4 + t) + 3t = 7(3t + 5) + -9 (-4 * 18 + t * 18) + 3t = 7(3t + 5) + -9 (-72 + 18t) + 3t = 7(3t + 5) + -9 Combine like terms: 18t + 3t = 21t -72 + 21t = 7(3t + 5) + -9 Reorder the terms: -72 + 21t = 7(5 + 3t) + -9 -72 + 21t = (5 * 7 + 3t * 7) + -9 -72 + 21t = (35 + 21t) + -9 Reorder the terms: -72 + 21t = 35 + -9 + 21t Combine like terms: 35 + -9 = 26 -72 + 21t = 26 + 21t Add '-21t' to each side of the equation. -72 + 21t + -21t = 26 + 21t + -21t Combine like terms: 21t + -21t = 0 -72 + 0 = 26 + 21t + -21t -72 = 26 + 21t + -21t Combine like terms: 21t + -21t = 0 -72 = 26 + 0 -72 = 26 Solving -72 = 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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