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Simplifying 4(t + -2) + 8t = 6(2t + 5) + -12 Reorder the terms: 4(-2 + t) + 8t = 6(2t + 5) + -12 (-2 * 4 + t * 4) + 8t = 6(2t + 5) + -12 (-8 + 4t) + 8t = 6(2t + 5) + -12 Combine like terms: 4t + 8t = 12t -8 + 12t = 6(2t + 5) + -12 Reorder the terms: -8 + 12t = 6(5 + 2t) + -12 -8 + 12t = (5 * 6 + 2t * 6) + -12 -8 + 12t = (30 + 12t) + -12 Reorder the terms: -8 + 12t = 30 + -12 + 12t Combine like terms: 30 + -12 = 18 -8 + 12t = 18 + 12t Add '-12t' to each side of the equation. -8 + 12t + -12t = 18 + 12t + -12t Combine like terms: 12t + -12t = 0 -8 + 0 = 18 + 12t + -12t -8 = 18 + 12t + -12t Combine like terms: 12t + -12t = 0 -8 = 18 + 0 -8 = 18 Solving -8 = 18 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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