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Simplifying 6t + 3(6t + -4) = 12(2t + -5) Reorder the terms: 6t + 3(-4 + 6t) = 12(2t + -5) 6t + (-4 * 3 + 6t * 3) = 12(2t + -5) 6t + (-12 + 18t) = 12(2t + -5) Reorder the terms: -12 + 6t + 18t = 12(2t + -5) Combine like terms: 6t + 18t = 24t -12 + 24t = 12(2t + -5) Reorder the terms: -12 + 24t = 12(-5 + 2t) -12 + 24t = (-5 * 12 + 2t * 12) -12 + 24t = (-60 + 24t) Add '-24t' to each side of the equation. -12 + 24t + -24t = -60 + 24t + -24t Combine like terms: 24t + -24t = 0 -12 + 0 = -60 + 24t + -24t -12 = -60 + 24t + -24t Combine like terms: 24t + -24t = 0 -12 = -60 + 0 -12 = -60 Solving -12 = -60 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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