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Simplifying (6t + -3) * 2 = (4t + 7) * 3 Reorder the terms: (-3 + 6t) * 2 = (4t + 7) * 3 Reorder the terms for easier multiplication: 2(-3 + 6t) = (4t + 7) * 3 (-3 * 2 + 6t * 2) = (4t + 7) * 3 (-6 + 12t) = (4t + 7) * 3 Reorder the terms: -6 + 12t = (7 + 4t) * 3 Reorder the terms for easier multiplication: -6 + 12t = 3(7 + 4t) -6 + 12t = (7 * 3 + 4t * 3) -6 + 12t = (21 + 12t) Add '-12t' to each side of the equation. -6 + 12t + -12t = 21 + 12t + -12t Combine like terms: 12t + -12t = 0 -6 + 0 = 21 + 12t + -12t -6 = 21 + 12t + -12t Combine like terms: 12t + -12t = 0 -6 = 21 + 0 -6 = 21 Solving -6 = 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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