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Simplifying 4(t + -6) + 8t = 4(3t + 5) + -11 Reorder the terms: 4(-6 + t) + 8t = 4(3t + 5) + -11 (-6 * 4 + t * 4) + 8t = 4(3t + 5) + -11 (-24 + 4t) + 8t = 4(3t + 5) + -11 Combine like terms: 4t + 8t = 12t -24 + 12t = 4(3t + 5) + -11 Reorder the terms: -24 + 12t = 4(5 + 3t) + -11 -24 + 12t = (5 * 4 + 3t * 4) + -11 -24 + 12t = (20 + 12t) + -11 Reorder the terms: -24 + 12t = 20 + -11 + 12t Combine like terms: 20 + -11 = 9 -24 + 12t = 9 + 12t Add '-12t' to each side of the equation. -24 + 12t + -12t = 9 + 12t + -12t Combine like terms: 12t + -12t = 0 -24 + 0 = 9 + 12t + -12t -24 = 9 + 12t + -12t Combine like terms: 12t + -12t = 0 -24 = 9 + 0 -24 = 9 Solving -24 = 9 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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