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Simplifying 5(t + -3) + 5t = 5(2t + 3) + -13 Reorder the terms: 5(-3 + t) + 5t = 5(2t + 3) + -13 (-3 * 5 + t * 5) + 5t = 5(2t + 3) + -13 (-15 + 5t) + 5t = 5(2t + 3) + -13 Combine like terms: 5t + 5t = 10t -15 + 10t = 5(2t + 3) + -13 Reorder the terms: -15 + 10t = 5(3 + 2t) + -13 -15 + 10t = (3 * 5 + 2t * 5) + -13 -15 + 10t = (15 + 10t) + -13 Reorder the terms: -15 + 10t = 15 + -13 + 10t Combine like terms: 15 + -13 = 2 -15 + 10t = 2 + 10t Add '-10t' to each side of the equation. -15 + 10t + -10t = 2 + 10t + -10t Combine like terms: 10t + -10t = 0 -15 + 0 = 2 + 10t + -10t -15 = 2 + 10t + -10t Combine like terms: 10t + -10t = 0 -15 = 2 + 0 -15 = 2 Solving -15 = 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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