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Simplifying 18(t + -5) + 3t = 7(3t + 4) + -10 Reorder the terms: 18(-5 + t) + 3t = 7(3t + 4) + -10 (-5 * 18 + t * 18) + 3t = 7(3t + 4) + -10 (-90 + 18t) + 3t = 7(3t + 4) + -10 Combine like terms: 18t + 3t = 21t -90 + 21t = 7(3t + 4) + -10 Reorder the terms: -90 + 21t = 7(4 + 3t) + -10 -90 + 21t = (4 * 7 + 3t * 7) + -10 -90 + 21t = (28 + 21t) + -10 Reorder the terms: -90 + 21t = 28 + -10 + 21t Combine like terms: 28 + -10 = 18 -90 + 21t = 18 + 21t Add '-21t' to each side of the equation. -90 + 21t + -21t = 18 + 21t + -21t Combine like terms: 21t + -21t = 0 -90 + 0 = 18 + 21t + -21t -90 = 18 + 21t + -21t Combine like terms: 21t + -21t = 0 -90 = 18 + 0 -90 = 18 Solving -90 = 18 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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