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Simplifying 7(t + -5) + 8t = 5(3t + 4) + -9 Reorder the terms: 7(-5 + t) + 8t = 5(3t + 4) + -9 (-5 * 7 + t * 7) + 8t = 5(3t + 4) + -9 (-35 + 7t) + 8t = 5(3t + 4) + -9 Combine like terms: 7t + 8t = 15t -35 + 15t = 5(3t + 4) + -9 Reorder the terms: -35 + 15t = 5(4 + 3t) + -9 -35 + 15t = (4 * 5 + 3t * 5) + -9 -35 + 15t = (20 + 15t) + -9 Reorder the terms: -35 + 15t = 20 + -9 + 15t Combine like terms: 20 + -9 = 11 -35 + 15t = 11 + 15t Add '-15t' to each side of the equation. -35 + 15t + -15t = 11 + 15t + -15t Combine like terms: 15t + -15t = 0 -35 + 0 = 11 + 15t + -15t -35 = 11 + 15t + -15t Combine like terms: 15t + -15t = 0 -35 = 11 + 0 -35 = 11 Solving -35 = 11 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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