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Simplifying 5 + 2(3t + -7) = 3(2t + 5) + 24 Reorder the terms: 5 + 2(-7 + 3t) = 3(2t + 5) + 24 5 + (-7 * 2 + 3t * 2) = 3(2t + 5) + 24 5 + (-14 + 6t) = 3(2t + 5) + 24 Combine like terms: 5 + -14 = -9 -9 + 6t = 3(2t + 5) + 24 Reorder the terms: -9 + 6t = 3(5 + 2t) + 24 -9 + 6t = (5 * 3 + 2t * 3) + 24 -9 + 6t = (15 + 6t) + 24 Reorder the terms: -9 + 6t = 15 + 24 + 6t Combine like terms: 15 + 24 = 39 -9 + 6t = 39 + 6t Add '-6t' to each side of the equation. -9 + 6t + -6t = 39 + 6t + -6t Combine like terms: 6t + -6t = 0 -9 + 0 = 39 + 6t + -6t -9 = 39 + 6t + -6t Combine like terms: 6t + -6t = 0 -9 = 39 + 0 -9 = 39 Solving -9 = 39 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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