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Simplifying 5(t + -4) + 7t = 6(2t + 3) + -12 Reorder the terms: 5(-4 + t) + 7t = 6(2t + 3) + -12 (-4 * 5 + t * 5) + 7t = 6(2t + 3) + -12 (-20 + 5t) + 7t = 6(2t + 3) + -12 Combine like terms: 5t + 7t = 12t -20 + 12t = 6(2t + 3) + -12 Reorder the terms: -20 + 12t = 6(3 + 2t) + -12 -20 + 12t = (3 * 6 + 2t * 6) + -12 -20 + 12t = (18 + 12t) + -12 Reorder the terms: -20 + 12t = 18 + -12 + 12t Combine like terms: 18 + -12 = 6 -20 + 12t = 6 + 12t Add '-12t' to each side of the equation. -20 + 12t + -12t = 6 + 12t + -12t Combine like terms: 12t + -12t = 0 -20 + 0 = 6 + 12t + -12t -20 = 6 + 12t + -12t Combine like terms: 12t + -12t = 0 -20 = 6 + 0 -20 = 6 Solving -20 = 6 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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