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Simplifying 6(t + -2) + 6t = 4(3t + 5) + 12 Reorder the terms: 6(-2 + t) + 6t = 4(3t + 5) + 12 (-2 * 6 + t * 6) + 6t = 4(3t + 5) + 12 (-12 + 6t) + 6t = 4(3t + 5) + 12 Combine like terms: 6t + 6t = 12t -12 + 12t = 4(3t + 5) + 12 Reorder the terms: -12 + 12t = 4(5 + 3t) + 12 -12 + 12t = (5 * 4 + 3t * 4) + 12 -12 + 12t = (20 + 12t) + 12 Reorder the terms: -12 + 12t = 20 + 12 + 12t Combine like terms: 20 + 12 = 32 -12 + 12t = 32 + 12t Add '-12t' to each side of the equation. -12 + 12t + -12t = 32 + 12t + -12t Combine like terms: 12t + -12t = 0 -12 + 0 = 32 + 12t + -12t -12 = 32 + 12t + -12t Combine like terms: 12t + -12t = 0 -12 = 32 + 0 -12 = 32 Solving -12 = 32 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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