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Simplifying 5(t + -6) + 3t = 4(2t + 5) + -12 Reorder the terms: 5(-6 + t) + 3t = 4(2t + 5) + -12 (-6 * 5 + t * 5) + 3t = 4(2t + 5) + -12 (-30 + 5t) + 3t = 4(2t + 5) + -12 Combine like terms: 5t + 3t = 8t -30 + 8t = 4(2t + 5) + -12 Reorder the terms: -30 + 8t = 4(5 + 2t) + -12 -30 + 8t = (5 * 4 + 2t * 4) + -12 -30 + 8t = (20 + 8t) + -12 Reorder the terms: -30 + 8t = 20 + -12 + 8t Combine like terms: 20 + -12 = 8 -30 + 8t = 8 + 8t Add '-8t' to each side of the equation. -30 + 8t + -8t = 8 + 8t + -8t Combine like terms: 8t + -8t = 0 -30 + 0 = 8 + 8t + -8t -30 = 8 + 8t + -8t Combine like terms: 8t + -8t = 0 -30 = 8 + 0 -30 = 8 Solving -30 = 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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