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Simplifying 12(t + -3) + 3t = 5(3t + 2) + -8 Reorder the terms: 12(-3 + t) + 3t = 5(3t + 2) + -8 (-3 * 12 + t * 12) + 3t = 5(3t + 2) + -8 (-36 + 12t) + 3t = 5(3t + 2) + -8 Combine like terms: 12t + 3t = 15t -36 + 15t = 5(3t + 2) + -8 Reorder the terms: -36 + 15t = 5(2 + 3t) + -8 -36 + 15t = (2 * 5 + 3t * 5) + -8 -36 + 15t = (10 + 15t) + -8 Reorder the terms: -36 + 15t = 10 + -8 + 15t Combine like terms: 10 + -8 = 2 -36 + 15t = 2 + 15t Add '-15t' to each side of the equation. -36 + 15t + -15t = 2 + 15t + -15t Combine like terms: 15t + -15t = 0 -36 + 0 = 2 + 15t + -15t -36 = 2 + 15t + -15t Combine like terms: 15t + -15t = 0 -36 = 2 + 0 -36 = 2 Solving -36 = 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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