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Simplifying 12(t + -2) + 3t = 5(3t + 4) + -10 Reorder the terms: 12(-2 + t) + 3t = 5(3t + 4) + -10 (-2 * 12 + t * 12) + 3t = 5(3t + 4) + -10 (-24 + 12t) + 3t = 5(3t + 4) + -10 Combine like terms: 12t + 3t = 15t -24 + 15t = 5(3t + 4) + -10 Reorder the terms: -24 + 15t = 5(4 + 3t) + -10 -24 + 15t = (4 * 5 + 3t * 5) + -10 -24 + 15t = (20 + 15t) + -10 Reorder the terms: -24 + 15t = 20 + -10 + 15t Combine like terms: 20 + -10 = 10 -24 + 15t = 10 + 15t Add '-15t' to each side of the equation. -24 + 15t + -15t = 10 + 15t + -15t Combine like terms: 15t + -15t = 0 -24 + 0 = 10 + 15t + -15t -24 = 10 + 15t + -15t Combine like terms: 15t + -15t = 0 -24 = 10 + 0 -24 = 10 Solving -24 = 10 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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