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Simplifying 12(t + -5) + 6t = 6(3t + 3) + -10 Reorder the terms: 12(-5 + t) + 6t = 6(3t + 3) + -10 (-5 * 12 + t * 12) + 6t = 6(3t + 3) + -10 (-60 + 12t) + 6t = 6(3t + 3) + -10 Combine like terms: 12t + 6t = 18t -60 + 18t = 6(3t + 3) + -10 Reorder the terms: -60 + 18t = 6(3 + 3t) + -10 -60 + 18t = (3 * 6 + 3t * 6) + -10 -60 + 18t = (18 + 18t) + -10 Reorder the terms: -60 + 18t = 18 + -10 + 18t Combine like terms: 18 + -10 = 8 -60 + 18t = 8 + 18t Add '-18t' to each side of the equation. -60 + 18t + -18t = 8 + 18t + -18t Combine like terms: 18t + -18t = 0 -60 + 0 = 8 + 18t + -18t -60 = 8 + 18t + -18t Combine like terms: 18t + -18t = 0 -60 = 8 + 0 -60 = 8 Solving -60 = 8 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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