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Simplifying 6(t + -5) + 6t = 4(3t + 4) + -12 Reorder the terms: 6(-5 + t) + 6t = 4(3t + 4) + -12 (-5 * 6 + t * 6) + 6t = 4(3t + 4) + -12 (-30 + 6t) + 6t = 4(3t + 4) + -12 Combine like terms: 6t + 6t = 12t -30 + 12t = 4(3t + 4) + -12 Reorder the terms: -30 + 12t = 4(4 + 3t) + -12 -30 + 12t = (4 * 4 + 3t * 4) + -12 -30 + 12t = (16 + 12t) + -12 Reorder the terms: -30 + 12t = 16 + -12 + 12t Combine like terms: 16 + -12 = 4 -30 + 12t = 4 + 12t Add '-12t' to each side of the equation. -30 + 12t + -12t = 4 + 12t + -12t Combine like terms: 12t + -12t = 0 -30 + 0 = 4 + 12t + -12t -30 = 4 + 12t + -12t Combine like terms: 12t + -12t = 0 -30 = 4 + 0 -30 = 4 Solving -30 = 4 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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