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Simplifying 2(t + -4) + 6t = 4(2t + 5) + -9 Reorder the terms: 2(-4 + t) + 6t = 4(2t + 5) + -9 (-4 * 2 + t * 2) + 6t = 4(2t + 5) + -9 (-8 + 2t) + 6t = 4(2t + 5) + -9 Combine like terms: 2t + 6t = 8t -8 + 8t = 4(2t + 5) + -9 Reorder the terms: -8 + 8t = 4(5 + 2t) + -9 -8 + 8t = (5 * 4 + 2t * 4) + -9 -8 + 8t = (20 + 8t) + -9 Reorder the terms: -8 + 8t = 20 + -9 + 8t Combine like terms: 20 + -9 = 11 -8 + 8t = 11 + 8t Add '-8t' to each side of the equation. -8 + 8t + -8t = 11 + 8t + -8t Combine like terms: 8t + -8t = 0 -8 + 0 = 11 + 8t + -8t -8 = 11 + 8t + -8t Combine like terms: 8t + -8t = 0 -8 = 11 + 0 -8 = 11 Solving -8 = 11 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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