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Simplifying 7(t + -3) + 5t = 6(2t + 3) + -12 Reorder the terms: 7(-3 + t) + 5t = 6(2t + 3) + -12 (-3 * 7 + t * 7) + 5t = 6(2t + 3) + -12 (-21 + 7t) + 5t = 6(2t + 3) + -12 Combine like terms: 7t + 5t = 12t -21 + 12t = 6(2t + 3) + -12 Reorder the terms: -21 + 12t = 6(3 + 2t) + -12 -21 + 12t = (3 * 6 + 2t * 6) + -12 -21 + 12t = (18 + 12t) + -12 Reorder the terms: -21 + 12t = 18 + -12 + 12t Combine like terms: 18 + -12 = 6 -21 + 12t = 6 + 12t Add '-12t' to each side of the equation. -21 + 12t + -12t = 6 + 12t + -12t Combine like terms: 12t + -12t = 0 -21 + 0 = 6 + 12t + -12t -21 = 6 + 12t + -12t Combine like terms: 12t + -12t = 0 -21 = 6 + 0 -21 = 6 Solving -21 = 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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