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Simplifying 7(t + 4) + 5t = 6(2t + 2) + -10 Reorder the terms: 7(4 + t) + 5t = 6(2t + 2) + -10 (4 * 7 + t * 7) + 5t = 6(2t + 2) + -10 (28 + 7t) + 5t = 6(2t + 2) + -10 Combine like terms: 7t + 5t = 12t 28 + 12t = 6(2t + 2) + -10 Reorder the terms: 28 + 12t = 6(2 + 2t) + -10 28 + 12t = (2 * 6 + 2t * 6) + -10 28 + 12t = (12 + 12t) + -10 Reorder the terms: 28 + 12t = 12 + -10 + 12t Combine like terms: 12 + -10 = 2 28 + 12t = 2 + 12t Add '-12t' to each side of the equation. 28 + 12t + -12t = 2 + 12t + -12t Combine like terms: 12t + -12t = 0 28 + 0 = 2 + 12t + -12t 28 = 2 + 12t + -12t Combine like terms: 12t + -12t = 0 28 = 2 + 0 28 = 2 Solving 28 = 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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