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Simplifying 5(t + -2) + 5t = 5(2t + 2) + -9 Reorder the terms: 5(-2 + t) + 5t = 5(2t + 2) + -9 (-2 * 5 + t * 5) + 5t = 5(2t + 2) + -9 (-10 + 5t) + 5t = 5(2t + 2) + -9 Combine like terms: 5t + 5t = 10t -10 + 10t = 5(2t + 2) + -9 Reorder the terms: -10 + 10t = 5(2 + 2t) + -9 -10 + 10t = (2 * 5 + 2t * 5) + -9 -10 + 10t = (10 + 10t) + -9 Reorder the terms: -10 + 10t = 10 + -9 + 10t Combine like terms: 10 + -9 = 1 -10 + 10t = 1 + 10t Add '-10t' to each side of the equation. -10 + 10t + -10t = 1 + 10t + -10t Combine like terms: 10t + -10t = 0 -10 + 0 = 1 + 10t + -10t -10 = 1 + 10t + -10t Combine like terms: 10t + -10t = 0 -10 = 1 + 0 -10 = 1 Solving -10 = 1 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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