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Simplifying 8(t + -5) + 6t = 7(2t + 5) + -12 Reorder the terms: 8(-5 + t) + 6t = 7(2t + 5) + -12 (-5 * 8 + t * 8) + 6t = 7(2t + 5) + -12 (-40 + 8t) + 6t = 7(2t + 5) + -12 Combine like terms: 8t + 6t = 14t -40 + 14t = 7(2t + 5) + -12 Reorder the terms: -40 + 14t = 7(5 + 2t) + -12 -40 + 14t = (5 * 7 + 2t * 7) + -12 -40 + 14t = (35 + 14t) + -12 Reorder the terms: -40 + 14t = 35 + -12 + 14t Combine like terms: 35 + -12 = 23 -40 + 14t = 23 + 14t Add '-14t' to each side of the equation. -40 + 14t + -14t = 23 + 14t + -14t Combine like terms: 14t + -14t = 0 -40 + 0 = 23 + 14t + -14t -40 = 23 + 14t + -14t Combine like terms: 14t + -14t = 0 -40 = 23 + 0 -40 = 23 Solving -40 = 23 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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