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Simplifying 5(t + -6) + 5t = 5(2t + 3) + -11 Reorder the terms: 5(-6 + t) + 5t = 5(2t + 3) + -11 (-6 * 5 + t * 5) + 5t = 5(2t + 3) + -11 (-30 + 5t) + 5t = 5(2t + 3) + -11 Combine like terms: 5t + 5t = 10t -30 + 10t = 5(2t + 3) + -11 Reorder the terms: -30 + 10t = 5(3 + 2t) + -11 -30 + 10t = (3 * 5 + 2t * 5) + -11 -30 + 10t = (15 + 10t) + -11 Reorder the terms: -30 + 10t = 15 + -11 + 10t Combine like terms: 15 + -11 = 4 -30 + 10t = 4 + 10t Add '-10t' to each side of the equation. -30 + 10t + -10t = 4 + 10t + -10t Combine like terms: 10t + -10t = 0 -30 + 0 = 4 + 10t + -10t -30 = 4 + 10t + -10t Combine like terms: 10t + -10t = 0 -30 = 4 + 0 -30 = 4 Solving -30 = 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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