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Simplifying 3(t + -5) + 7t = 5(2t + 4) + -12 Reorder the terms: 3(-5 + t) + 7t = 5(2t + 4) + -12 (-5 * 3 + t * 3) + 7t = 5(2t + 4) + -12 (-15 + 3t) + 7t = 5(2t + 4) + -12 Combine like terms: 3t + 7t = 10t -15 + 10t = 5(2t + 4) + -12 Reorder the terms: -15 + 10t = 5(4 + 2t) + -12 -15 + 10t = (4 * 5 + 2t * 5) + -12 -15 + 10t = (20 + 10t) + -12 Reorder the terms: -15 + 10t = 20 + -12 + 10t Combine like terms: 20 + -12 = 8 -15 + 10t = 8 + 10t Add '-10t' to each side of the equation. -15 + 10t + -10t = 8 + 10t + -10t Combine like terms: 10t + -10t = 0 -15 + 0 = 8 + 10t + -10t -15 = 8 + 10t + -10t Combine like terms: 10t + -10t = 0 -15 = 8 + 0 -15 = 8 Solving -15 = 8 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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