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Simplifying 6(t + -3) + 6t = 4(3t + 5) + -12 Reorder the terms: 6(-3 + t) + 6t = 4(3t + 5) + -12 (-3 * 6 + t * 6) + 6t = 4(3t + 5) + -12 (-18 + 6t) + 6t = 4(3t + 5) + -12 Combine like terms: 6t + 6t = 12t -18 + 12t = 4(3t + 5) + -12 Reorder the terms: -18 + 12t = 4(5 + 3t) + -12 -18 + 12t = (5 * 4 + 3t * 4) + -12 -18 + 12t = (20 + 12t) + -12 Reorder the terms: -18 + 12t = 20 + -12 + 12t Combine like terms: 20 + -12 = 8 -18 + 12t = 8 + 12t Add '-12t' to each side of the equation. -18 + 12t + -12t = 8 + 12t + -12t Combine like terms: 12t + -12t = 0 -18 + 0 = 8 + 12t + -12t -18 = 8 + 12t + -12t Combine like terms: 12t + -12t = 0 -18 = 8 + 0 -18 = 8 Solving -18 = 8 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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