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Simplifying 3(t + -4) + 5t = 4(2t + 4) + -10 Reorder the terms: 3(-4 + t) + 5t = 4(2t + 4) + -10 (-4 * 3 + t * 3) + 5t = 4(2t + 4) + -10 (-12 + 3t) + 5t = 4(2t + 4) + -10 Combine like terms: 3t + 5t = 8t -12 + 8t = 4(2t + 4) + -10 Reorder the terms: -12 + 8t = 4(4 + 2t) + -10 -12 + 8t = (4 * 4 + 2t * 4) + -10 -12 + 8t = (16 + 8t) + -10 Reorder the terms: -12 + 8t = 16 + -10 + 8t Combine like terms: 16 + -10 = 6 -12 + 8t = 6 + 8t Add '-8t' to each side of the equation. -12 + 8t + -8t = 6 + 8t + -8t Combine like terms: 8t + -8t = 0 -12 + 0 = 6 + 8t + -8t -12 = 6 + 8t + -8t Combine like terms: 8t + -8t = 0 -12 = 6 + 0 -12 = 6 Solving -12 = 6 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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