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Simplifying 10(t + -5) + 5t = 5(3t + 2) + -8 Reorder the terms: 10(-5 + t) + 5t = 5(3t + 2) + -8 (-5 * 10 + t * 10) + 5t = 5(3t + 2) + -8 (-50 + 10t) + 5t = 5(3t + 2) + -8 Combine like terms: 10t + 5t = 15t -50 + 15t = 5(3t + 2) + -8 Reorder the terms: -50 + 15t = 5(2 + 3t) + -8 -50 + 15t = (2 * 5 + 3t * 5) + -8 -50 + 15t = (10 + 15t) + -8 Reorder the terms: -50 + 15t = 10 + -8 + 15t Combine like terms: 10 + -8 = 2 -50 + 15t = 2 + 15t Add '-15t' to each side of the equation. -50 + 15t + -15t = 2 + 15t + -15t Combine like terms: 15t + -15t = 0 -50 + 0 = 2 + 15t + -15t -50 = 2 + 15t + -15t Combine like terms: 15t + -15t = 0 -50 = 2 + 0 -50 = 2 Solving -50 = 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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