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Simplifying 7(t + -5) + 8t = 5(3t + 2) + -8 Reorder the terms: 7(-5 + t) + 8t = 5(3t + 2) + -8 (-5 * 7 + t * 7) + 8t = 5(3t + 2) + -8 (-35 + 7t) + 8t = 5(3t + 2) + -8 Combine like terms: 7t + 8t = 15t -35 + 15t = 5(3t + 2) + -8 Reorder the terms: -35 + 15t = 5(2 + 3t) + -8 -35 + 15t = (2 * 5 + 3t * 5) + -8 -35 + 15t = (10 + 15t) + -8 Reorder the terms: -35 + 15t = 10 + -8 + 15t Combine like terms: 10 + -8 = 2 -35 + 15t = 2 + 15t Add '-15t' to each side of the equation. -35 + 15t + -15t = 2 + 15t + -15t Combine like terms: 15t + -15t = 0 -35 + 0 = 2 + 15t + -15t -35 = 2 + 15t + -15t Combine like terms: 15t + -15t = 0 -35 = 2 + 0 -35 = 2 Solving -35 = 2 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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