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Simplifying 10(t + -2) + 8t = 6(3t + 2) + -8 Reorder the terms: 10(-2 + t) + 8t = 6(3t + 2) + -8 (-2 * 10 + t * 10) + 8t = 6(3t + 2) + -8 (-20 + 10t) + 8t = 6(3t + 2) + -8 Combine like terms: 10t + 8t = 18t -20 + 18t = 6(3t + 2) + -8 Reorder the terms: -20 + 18t = 6(2 + 3t) + -8 -20 + 18t = (2 * 6 + 3t * 6) + -8 -20 + 18t = (12 + 18t) + -8 Reorder the terms: -20 + 18t = 12 + -8 + 18t Combine like terms: 12 + -8 = 4 -20 + 18t = 4 + 18t Add '-18t' to each side of the equation. -20 + 18t + -18t = 4 + 18t + -18t Combine like terms: 18t + -18t = 0 -20 + 0 = 4 + 18t + -18t -20 = 4 + 18t + -18t Combine like terms: 18t + -18t = 0 -20 = 4 + 0 -20 = 4 Solving -20 = 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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