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Simplifying 10(t + -4) + 8t = 6(3t + 5) + -8 Reorder the terms: 10(-4 + t) + 8t = 6(3t + 5) + -8 (-4 * 10 + t * 10) + 8t = 6(3t + 5) + -8 (-40 + 10t) + 8t = 6(3t + 5) + -8 Combine like terms: 10t + 8t = 18t -40 + 18t = 6(3t + 5) + -8 Reorder the terms: -40 + 18t = 6(5 + 3t) + -8 -40 + 18t = (5 * 6 + 3t * 6) + -8 -40 + 18t = (30 + 18t) + -8 Reorder the terms: -40 + 18t = 30 + -8 + 18t Combine like terms: 30 + -8 = 22 -40 + 18t = 22 + 18t Add '-18t' to each side of the equation. -40 + 18t + -18t = 22 + 18t + -18t Combine like terms: 18t + -18t = 0 -40 + 0 = 22 + 18t + -18t -40 = 22 + 18t + -18t Combine like terms: 18t + -18t = 0 -40 = 22 + 0 -40 = 22 Solving -40 = 22 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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