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Simplifying 5(t + -3) + 3t = 4(2t + 3) + -11 Reorder the terms: 5(-3 + t) + 3t = 4(2t + 3) + -11 (-3 * 5 + t * 5) + 3t = 4(2t + 3) + -11 (-15 + 5t) + 3t = 4(2t + 3) + -11 Combine like terms: 5t + 3t = 8t -15 + 8t = 4(2t + 3) + -11 Reorder the terms: -15 + 8t = 4(3 + 2t) + -11 -15 + 8t = (3 * 4 + 2t * 4) + -11 -15 + 8t = (12 + 8t) + -11 Reorder the terms: -15 + 8t = 12 + -11 + 8t Combine like terms: 12 + -11 = 1 -15 + 8t = 1 + 8t Add '-8t' to each side of the equation. -15 + 8t + -8t = 1 + 8t + -8t Combine like terms: 8t + -8t = 0 -15 + 0 = 1 + 8t + -8t -15 = 1 + 8t + -8t Combine like terms: 8t + -8t = 0 -15 = 1 + 0 -15 = 1 Solving -15 = 1 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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