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Simplifying 5(t + -6) + 5t = 5(2t + 4) + -10 Reorder the terms: 5(-6 + t) + 5t = 5(2t + 4) + -10 (-6 * 5 + t * 5) + 5t = 5(2t + 4) + -10 (-30 + 5t) + 5t = 5(2t + 4) + -10 Combine like terms: 5t + 5t = 10t -30 + 10t = 5(2t + 4) + -10 Reorder the terms: -30 + 10t = 5(4 + 2t) + -10 -30 + 10t = (4 * 5 + 2t * 5) + -10 -30 + 10t = (20 + 10t) + -10 Reorder the terms: -30 + 10t = 20 + -10 + 10t Combine like terms: 20 + -10 = 10 -30 + 10t = 10 + 10t Add '-10t' to each side of the equation. -30 + 10t + -10t = 10 + 10t + -10t Combine like terms: 10t + -10t = 0 -30 + 0 = 10 + 10t + -10t -30 = 10 + 10t + -10t Combine like terms: 10t + -10t = 0 -30 = 10 + 0 -30 = 10 Solving -30 = 10 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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