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Simplifying 5(t + -4) + 5t = 5(2t + 3) + -12 Reorder the terms: 5(-4 + t) + 5t = 5(2t + 3) + -12 (-4 * 5 + t * 5) + 5t = 5(2t + 3) + -12 (-20 + 5t) + 5t = 5(2t + 3) + -12 Combine like terms: 5t + 5t = 10t -20 + 10t = 5(2t + 3) + -12 Reorder the terms: -20 + 10t = 5(3 + 2t) + -12 -20 + 10t = (3 * 5 + 2t * 5) + -12 -20 + 10t = (15 + 10t) + -12 Reorder the terms: -20 + 10t = 15 + -12 + 10t Combine like terms: 15 + -12 = 3 -20 + 10t = 3 + 10t Add '-10t' to each side of the equation. -20 + 10t + -10t = 3 + 10t + -10t Combine like terms: 10t + -10t = 0 -20 + 0 = 3 + 10t + -10t -20 = 3 + 10t + -10t Combine like terms: 10t + -10t = 0 -20 = 3 + 0 -20 = 3 Solving -20 = 3 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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