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Simplifying 4(t + -6) + 6t = 5(2t + 4) + -8 Reorder the terms: 4(-6 + t) + 6t = 5(2t + 4) + -8 (-6 * 4 + t * 4) + 6t = 5(2t + 4) + -8 (-24 + 4t) + 6t = 5(2t + 4) + -8 Combine like terms: 4t + 6t = 10t -24 + 10t = 5(2t + 4) + -8 Reorder the terms: -24 + 10t = 5(4 + 2t) + -8 -24 + 10t = (4 * 5 + 2t * 5) + -8 -24 + 10t = (20 + 10t) + -8 Reorder the terms: -24 + 10t = 20 + -8 + 10t Combine like terms: 20 + -8 = 12 -24 + 10t = 12 + 10t Add '-10t' to each side of the equation. -24 + 10t + -10t = 12 + 10t + -10t Combine like terms: 10t + -10t = 0 -24 + 0 = 12 + 10t + -10t -24 = 12 + 10t + -10t Combine like terms: 10t + -10t = 0 -24 = 12 + 0 -24 = 12 Solving -24 = 12 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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