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Simplifying 4(t + -6) + 8t = 6(2t + 4) + -12 Reorder the terms: 4(-6 + t) + 8t = 6(2t + 4) + -12 (-6 * 4 + t * 4) + 8t = 6(2t + 4) + -12 (-24 + 4t) + 8t = 6(2t + 4) + -12 Combine like terms: 4t + 8t = 12t -24 + 12t = 6(2t + 4) + -12 Reorder the terms: -24 + 12t = 6(4 + 2t) + -12 -24 + 12t = (4 * 6 + 2t * 6) + -12 -24 + 12t = (24 + 12t) + -12 Reorder the terms: -24 + 12t = 24 + -12 + 12t Combine like terms: 24 + -12 = 12 -24 + 12t = 12 + 12t Add '-12t' to each side of the equation. -24 + 12t + -12t = 12 + 12t + -12t Combine like terms: 12t + -12t = 0 -24 + 0 = 12 + 12t + -12t -24 = 12 + 12t + -12t Combine like terms: 12t + -12t = 0 -24 = 12 + 0 -24 = 12 Solving -24 = 12 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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