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Simplifying 5(t + -3) + 7t = 6(2t + 5) + -10 Reorder the terms: 5(-3 + t) + 7t = 6(2t + 5) + -10 (-3 * 5 + t * 5) + 7t = 6(2t + 5) + -10 (-15 + 5t) + 7t = 6(2t + 5) + -10 Combine like terms: 5t + 7t = 12t -15 + 12t = 6(2t + 5) + -10 Reorder the terms: -15 + 12t = 6(5 + 2t) + -10 -15 + 12t = (5 * 6 + 2t * 6) + -10 -15 + 12t = (30 + 12t) + -10 Reorder the terms: -15 + 12t = 30 + -10 + 12t Combine like terms: 30 + -10 = 20 -15 + 12t = 20 + 12t Add '-12t' to each side of the equation. -15 + 12t + -12t = 20 + 12t + -12t Combine like terms: 12t + -12t = 0 -15 + 0 = 20 + 12t + -12t -15 = 20 + 12t + -12t Combine like terms: 12t + -12t = 0 -15 = 20 + 0 -15 = 20 Solving -15 = 20 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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