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Simplifying 6(t + -5) + 6t = 6(2t + 5) + -13 Reorder the terms: 6(-5 + t) + 6t = 6(2t + 5) + -13 (-5 * 6 + t * 6) + 6t = 6(2t + 5) + -13 (-30 + 6t) + 6t = 6(2t + 5) + -13 Combine like terms: 6t + 6t = 12t -30 + 12t = 6(2t + 5) + -13 Reorder the terms: -30 + 12t = 6(5 + 2t) + -13 -30 + 12t = (5 * 6 + 2t * 6) + -13 -30 + 12t = (30 + 12t) + -13 Reorder the terms: -30 + 12t = 30 + -13 + 12t Combine like terms: 30 + -13 = 17 -30 + 12t = 17 + 12t Add '-12t' to each side of the equation. -30 + 12t + -12t = 17 + 12t + -12t Combine like terms: 12t + -12t = 0 -30 + 0 = 17 + 12t + -12t -30 = 17 + 12t + -12t Combine like terms: 12t + -12t = 0 -30 = 17 + 0 -30 = 17 Solving -30 = 17 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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