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Simplifying 1(t + -2) + 7t = 4(2t + 4) + -12 Reorder the terms: 1(-2 + t) + 7t = 4(2t + 4) + -12 (-2 * 1 + t * 1) + 7t = 4(2t + 4) + -12 (-2 + 1t) + 7t = 4(2t + 4) + -12 Combine like terms: 1t + 7t = 8t -2 + 8t = 4(2t + 4) + -12 Reorder the terms: -2 + 8t = 4(4 + 2t) + -12 -2 + 8t = (4 * 4 + 2t * 4) + -12 -2 + 8t = (16 + 8t) + -12 Reorder the terms: -2 + 8t = 16 + -12 + 8t Combine like terms: 16 + -12 = 4 -2 + 8t = 4 + 8t Add '-8t' to each side of the equation. -2 + 8t + -8t = 4 + 8t + -8t Combine like terms: 8t + -8t = 0 -2 + 0 = 4 + 8t + -8t -2 = 4 + 8t + -8t Combine like terms: 8t + -8t = 0 -2 = 4 + 0 -2 = 4 Solving -2 = 4 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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