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