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Simplifying 8(t + -5) + 4t = 6(2t + 3) + -11 Reorder the terms: 8(-5 + t) + 4t = 6(2t + 3) + -11 (-5 * 8 + t * 8) + 4t = 6(2t + 3) + -11 (-40 + 8t) + 4t = 6(2t + 3) + -11 Combine like terms: 8t + 4t = 12t -40 + 12t = 6(2t + 3) + -11 Reorder the terms: -40 + 12t = 6(3 + 2t) + -11 -40 + 12t = (3 * 6 + 2t * 6) + -11 -40 + 12t = (18 + 12t) + -11 Reorder the terms: -40 + 12t = 18 + -11 + 12t Combine like terms: 18 + -11 = 7 -40 + 12t = 7 + 12t Add '-12t' to each side of the equation. -40 + 12t + -12t = 7 + 12t + -12t Combine like terms: 12t + -12t = 0 -40 + 0 = 7 + 12t + -12t -40 = 7 + 12t + -12t Combine like terms: 12t + -12t = 0 -40 = 7 + 0 -40 = 7 Solving -40 = 7 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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