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Simplifying 12(t + -3) + 6t = 6(3t + 2) + -10 Reorder the terms: 12(-3 + t) + 6t = 6(3t + 2) + -10 (-3 * 12 + t * 12) + 6t = 6(3t + 2) + -10 (-36 + 12t) + 6t = 6(3t + 2) + -10 Combine like terms: 12t + 6t = 18t -36 + 18t = 6(3t + 2) + -10 Reorder the terms: -36 + 18t = 6(2 + 3t) + -10 -36 + 18t = (2 * 6 + 3t * 6) + -10 -36 + 18t = (12 + 18t) + -10 Reorder the terms: -36 + 18t = 12 + -10 + 18t Combine like terms: 12 + -10 = 2 -36 + 18t = 2 + 18t Add '-18t' to each side of the equation. -36 + 18t + -18t = 2 + 18t + -18t Combine like terms: 18t + -18t = 0 -36 + 0 = 2 + 18t + -18t -36 = 2 + 18t + -18t Combine like terms: 18t + -18t = 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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