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Simplifying 10(t + -6) + 5t = 5(3t + 5) + -13 Reorder the terms: 10(-6 + t) + 5t = 5(3t + 5) + -13 (-6 * 10 + t * 10) + 5t = 5(3t + 5) + -13 (-60 + 10t) + 5t = 5(3t + 5) + -13 Combine like terms: 10t + 5t = 15t -60 + 15t = 5(3t + 5) + -13 Reorder the terms: -60 + 15t = 5(5 + 3t) + -13 -60 + 15t = (5 * 5 + 3t * 5) + -13 -60 + 15t = (25 + 15t) + -13 Reorder the terms: -60 + 15t = 25 + -13 + 15t Combine like terms: 25 + -13 = 12 -60 + 15t = 12 + 15t Add '-15t' to each side of the equation. -60 + 15t + -15t = 12 + 15t + -15t Combine like terms: 15t + -15t = 0 -60 + 0 = 12 + 15t + -15t -60 = 12 + 15t + -15t Combine like terms: 15t + -15t = 0 -60 = 12 + 0 -60 = 12 Solving -60 = 12 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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