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Simplifying 3(t + -4) + 7t = 5(2t + 5) + -12 Reorder the terms: 3(-4 + t) + 7t = 5(2t + 5) + -12 (-4 * 3 + t * 3) + 7t = 5(2t + 5) + -12 (-12 + 3t) + 7t = 5(2t + 5) + -12 Combine like terms: 3t + 7t = 10t -12 + 10t = 5(2t + 5) + -12 Reorder the terms: -12 + 10t = 5(5 + 2t) + -12 -12 + 10t = (5 * 5 + 2t * 5) + -12 -12 + 10t = (25 + 10t) + -12 Reorder the terms: -12 + 10t = 25 + -12 + 10t Combine like terms: 25 + -12 = 13 -12 + 10t = 13 + 10t Add '-10t' to each side of the equation. -12 + 10t + -10t = 13 + 10t + -10t Combine like terms: 10t + -10t = 0 -12 + 0 = 13 + 10t + -10t -12 = 13 + 10t + -10t Combine like terms: 10t + -10t = 0 -12 = 13 + 0 -12 = 13 Solving -12 = 13 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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