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Simplifying 5(t + -2) + 7t = 4(3t + 4) + -10 Reorder the terms: 5(-2 + t) + 7t = 4(3t + 4) + -10 (-2 * 5 + t * 5) + 7t = 4(3t + 4) + -10 (-10 + 5t) + 7t = 4(3t + 4) + -10 Combine like terms: 5t + 7t = 12t -10 + 12t = 4(3t + 4) + -10 Reorder the terms: -10 + 12t = 4(4 + 3t) + -10 -10 + 12t = (4 * 4 + 3t * 4) + -10 -10 + 12t = (16 + 12t) + -10 Reorder the terms: -10 + 12t = 16 + -10 + 12t Combine like terms: 16 + -10 = 6 -10 + 12t = 6 + 12t Add '-12t' to each side of the equation. -10 + 12t + -12t = 6 + 12t + -12t Combine like terms: 12t + -12t = 0 -10 + 0 = 6 + 12t + -12t -10 = 6 + 12t + -12t Combine like terms: 12t + -12t = 0 -10 = 6 + 0 -10 = 6 Solving -10 = 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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