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Simplifying 10(t + -4) + 8t = 6(3t + 4) + -12 Reorder the terms: 10(-4 + t) + 8t = 6(3t + 4) + -12 (-4 * 10 + t * 10) + 8t = 6(3t + 4) + -12 (-40 + 10t) + 8t = 6(3t + 4) + -12 Combine like terms: 10t + 8t = 18t -40 + 18t = 6(3t + 4) + -12 Reorder the terms: -40 + 18t = 6(4 + 3t) + -12 -40 + 18t = (4 * 6 + 3t * 6) + -12 -40 + 18t = (24 + 18t) + -12 Reorder the terms: -40 + 18t = 24 + -12 + 18t Combine like terms: 24 + -12 = 12 -40 + 18t = 12 + 18t Add '-18t' to each side of the equation. -40 + 18t + -18t = 12 + 18t + -18t Combine like terms: 18t + -18t = 0 -40 + 0 = 12 + 18t + -18t -40 = 12 + 18t + -18t Combine like terms: 18t + -18t = 0 -40 = 12 + 0 -40 = 12 Solving -40 = 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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