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Simplifying 5(t + -4) + 7t = 6(2t + 4) + -10 Reorder the terms: 5(-4 + t) + 7t = 6(2t + 4) + -10 (-4 * 5 + t * 5) + 7t = 6(2t + 4) + -10 (-20 + 5t) + 7t = 6(2t + 4) + -10 Combine like terms: 5t + 7t = 12t -20 + 12t = 6(2t + 4) + -10 Reorder the terms: -20 + 12t = 6(4 + 2t) + -10 -20 + 12t = (4 * 6 + 2t * 6) + -10 -20 + 12t = (24 + 12t) + -10 Reorder the terms: -20 + 12t = 24 + -10 + 12t Combine like terms: 24 + -10 = 14 -20 + 12t = 14 + 12t Add '-12t' to each side of the equation. -20 + 12t + -12t = 14 + 12t + -12t Combine like terms: 12t + -12t = 0 -20 + 0 = 14 + 12t + -12t -20 = 14 + 12t + -12t Combine like terms: 12t + -12t = 0 -20 = 14 + 0 -20 = 14 Solving -20 = 14 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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