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Simplifying 6(t + -5) + 6t = 6(2t + 4) + -8 Reorder the terms: 6(-5 + t) + 6t = 6(2t + 4) + -8 (-5 * 6 + t * 6) + 6t = 6(2t + 4) + -8 (-30 + 6t) + 6t = 6(2t + 4) + -8 Combine like terms: 6t + 6t = 12t -30 + 12t = 6(2t + 4) + -8 Reorder the terms: -30 + 12t = 6(4 + 2t) + -8 -30 + 12t = (4 * 6 + 2t * 6) + -8 -30 + 12t = (24 + 12t) + -8 Reorder the terms: -30 + 12t = 24 + -8 + 12t Combine like terms: 24 + -8 = 16 -30 + 12t = 16 + 12t Add '-12t' to each side of the equation. -30 + 12t + -12t = 16 + 12t + -12t Combine like terms: 12t + -12t = 0 -30 + 0 = 16 + 12t + -12t -30 = 16 + 12t + -12t Combine like terms: 12t + -12t = 0 -30 = 16 + 0 -30 = 16 Solving -30 = 16 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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