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Simplifying 7(t + -6) + 7t = 7(2t + 3) + -12 Reorder the terms: 7(-6 + t) + 7t = 7(2t + 3) + -12 (-6 * 7 + t * 7) + 7t = 7(2t + 3) + -12 (-42 + 7t) + 7t = 7(2t + 3) + -12 Combine like terms: 7t + 7t = 14t -42 + 14t = 7(2t + 3) + -12 Reorder the terms: -42 + 14t = 7(3 + 2t) + -12 -42 + 14t = (3 * 7 + 2t * 7) + -12 -42 + 14t = (21 + 14t) + -12 Reorder the terms: -42 + 14t = 21 + -12 + 14t Combine like terms: 21 + -12 = 9 -42 + 14t = 9 + 14t Add '-14t' to each side of the equation. -42 + 14t + -14t = 9 + 14t + -14t Combine like terms: 14t + -14t = 0 -42 + 0 = 9 + 14t + -14t -42 = 9 + 14t + -14t Combine like terms: 14t + -14t = 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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