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Simplifying 7(t + -6) + 3t = 5(2t + 5) + -10 Reorder the terms: 7(-6 + t) + 3t = 5(2t + 5) + -10 (-6 * 7 + t * 7) + 3t = 5(2t + 5) + -10 (-42 + 7t) + 3t = 5(2t + 5) + -10 Combine like terms: 7t + 3t = 10t -42 + 10t = 5(2t + 5) + -10 Reorder the terms: -42 + 10t = 5(5 + 2t) + -10 -42 + 10t = (5 * 5 + 2t * 5) + -10 -42 + 10t = (25 + 10t) + -10 Reorder the terms: -42 + 10t = 25 + -10 + 10t Combine like terms: 25 + -10 = 15 -42 + 10t = 15 + 10t Add '-10t' to each side of the equation. -42 + 10t + -10t = 15 + 10t + -10t Combine like terms: 10t + -10t = 0 -42 + 0 = 15 + 10t + -10t -42 = 15 + 10t + -10t Combine like terms: 10t + -10t = 0 -42 = 15 + 0 -42 = 15 Solving -42 = 15 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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