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Simplifying 12(t + -2) + 6t = 6(3t + 5) + -8 Reorder the terms: 12(-2 + t) + 6t = 6(3t + 5) + -8 (-2 * 12 + t * 12) + 6t = 6(3t + 5) + -8 (-24 + 12t) + 6t = 6(3t + 5) + -8 Combine like terms: 12t + 6t = 18t -24 + 18t = 6(3t + 5) + -8 Reorder the terms: -24 + 18t = 6(5 + 3t) + -8 -24 + 18t = (5 * 6 + 3t * 6) + -8 -24 + 18t = (30 + 18t) + -8 Reorder the terms: -24 + 18t = 30 + -8 + 18t Combine like terms: 30 + -8 = 22 -24 + 18t = 22 + 18t Add '-18t' to each side of the equation. -24 + 18t + -18t = 22 + 18t + -18t Combine like terms: 18t + -18t = 0 -24 + 0 = 22 + 18t + -18t -24 = 22 + 18t + -18t Combine like terms: 18t + -18t = 0 -24 = 22 + 0 -24 = 22 Solving -24 = 22 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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