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Simplifying 7(t + -6) + 5t = 6(2t + 3) + -9 Reorder the terms: 7(-6 + t) + 5t = 6(2t + 3) + -9 (-6 * 7 + t * 7) + 5t = 6(2t + 3) + -9 (-42 + 7t) + 5t = 6(2t + 3) + -9 Combine like terms: 7t + 5t = 12t -42 + 12t = 6(2t + 3) + -9 Reorder the terms: -42 + 12t = 6(3 + 2t) + -9 -42 + 12t = (3 * 6 + 2t * 6) + -9 -42 + 12t = (18 + 12t) + -9 Reorder the terms: -42 + 12t = 18 + -9 + 12t Combine like terms: 18 + -9 = 9 -42 + 12t = 9 + 12t Add '-12t' to each side of the equation. -42 + 12t + -12t = 9 + 12t + -12t Combine like terms: 12t + -12t = 0 -42 + 0 = 9 + 12t + -12t -42 = 9 + 12t + -12t Combine like terms: 12t + -12t = 0 -42 = 9 + 0 -42 = 9 Solving -42 = 9 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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