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Simplifying 6(t + -4) + 6t = 6(2t + 5) + -12 Reorder the terms: 6(-4 + t) + 6t = 6(2t + 5) + -12 (-4 * 6 + t * 6) + 6t = 6(2t + 5) + -12 (-24 + 6t) + 6t = 6(2t + 5) + -12 Combine like terms: 6t + 6t = 12t -24 + 12t = 6(2t + 5) + -12 Reorder the terms: -24 + 12t = 6(5 + 2t) + -12 -24 + 12t = (5 * 6 + 2t * 6) + -12 -24 + 12t = (30 + 12t) + -12 Reorder the terms: -24 + 12t = 30 + -12 + 12t Combine like terms: 30 + -12 = 18 -24 + 12t = 18 + 12t Add '-12t' to each side of the equation. -24 + 12t + -12t = 18 + 12t + -12t Combine like terms: 12t + -12t = 0 -24 + 0 = 18 + 12t + -12t -24 = 18 + 12t + -12t Combine like terms: 12t + -12t = 0 -24 = 18 + 0 -24 = 18 Solving -24 = 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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