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Simplifying 5(t + -3) + 7t = 4(3t + 5) + -11 Reorder the terms: 5(-3 + t) + 7t = 4(3t + 5) + -11 (-3 * 5 + t * 5) + 7t = 4(3t + 5) + -11 (-15 + 5t) + 7t = 4(3t + 5) + -11 Combine like terms: 5t + 7t = 12t -15 + 12t = 4(3t + 5) + -11 Reorder the terms: -15 + 12t = 4(5 + 3t) + -11 -15 + 12t = (5 * 4 + 3t * 4) + -11 -15 + 12t = (20 + 12t) + -11 Reorder the terms: -15 + 12t = 20 + -11 + 12t Combine like terms: 20 + -11 = 9 -15 + 12t = 9 + 12t Add '-12t' to each side of the equation. -15 + 12t + -12t = 9 + 12t + -12t Combine like terms: 12t + -12t = 0 -15 + 0 = 9 + 12t + -12t -15 = 9 + 12t + -12t Combine like terms: 12t + -12t = 0 -15 = 9 + 0 -15 = 9 Solving -15 = 9 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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