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Simplifying 7(t + -4) + 3t = 5(2t + 5) + -11 Reorder the terms: 7(-4 + t) + 3t = 5(2t + 5) + -11 (-4 * 7 + t * 7) + 3t = 5(2t + 5) + -11 (-28 + 7t) + 3t = 5(2t + 5) + -11 Combine like terms: 7t + 3t = 10t -28 + 10t = 5(2t + 5) + -11 Reorder the terms: -28 + 10t = 5(5 + 2t) + -11 -28 + 10t = (5 * 5 + 2t * 5) + -11 -28 + 10t = (25 + 10t) + -11 Reorder the terms: -28 + 10t = 25 + -11 + 10t Combine like terms: 25 + -11 = 14 -28 + 10t = 14 + 10t Add '-10t' to each side of the equation. -28 + 10t + -10t = 14 + 10t + -10t Combine like terms: 10t + -10t = 0 -28 + 0 = 14 + 10t + -10t -28 = 14 + 10t + -10t Combine like terms: 10t + -10t = 0 -28 = 14 + 0 -28 = 14 Solving -28 = 14 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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