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