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Simplifying 13(t + -5) + 5t = 6(3t + 4) + -12 Reorder the terms: 13(-5 + t) + 5t = 6(3t + 4) + -12 (-5 * 13 + t * 13) + 5t = 6(3t + 4) + -12 (-65 + 13t) + 5t = 6(3t + 4) + -12 Combine like terms: 13t + 5t = 18t -65 + 18t = 6(3t + 4) + -12 Reorder the terms: -65 + 18t = 6(4 + 3t) + -12 -65 + 18t = (4 * 6 + 3t * 6) + -12 -65 + 18t = (24 + 18t) + -12 Reorder the terms: -65 + 18t = 24 + -12 + 18t Combine like terms: 24 + -12 = 12 -65 + 18t = 12 + 18t Add '-18t' to each side of the equation. -65 + 18t + -18t = 12 + 18t + -18t Combine like terms: 18t + -18t = 0 -65 + 0 = 12 + 18t + -18t -65 = 12 + 18t + -18t Combine like terms: 18t + -18t = 0 -65 = 12 + 0 -65 = 12 Solving -65 = 12 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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