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Simplifying 10(t + -4) + 4t = 7(2t + 2) + -12 Reorder the terms: 10(-4 + t) + 4t = 7(2t + 2) + -12 (-4 * 10 + t * 10) + 4t = 7(2t + 2) + -12 (-40 + 10t) + 4t = 7(2t + 2) + -12 Combine like terms: 10t + 4t = 14t -40 + 14t = 7(2t + 2) + -12 Reorder the terms: -40 + 14t = 7(2 + 2t) + -12 -40 + 14t = (2 * 7 + 2t * 7) + -12 -40 + 14t = (14 + 14t) + -12 Reorder the terms: -40 + 14t = 14 + -12 + 14t Combine like terms: 14 + -12 = 2 -40 + 14t = 2 + 14t Add '-14t' to each side of the equation. -40 + 14t + -14t = 2 + 14t + -14t Combine like terms: 14t + -14t = 0 -40 + 0 = 2 + 14t + -14t -40 = 2 + 14t + -14t Combine like terms: 14t + -14t = 0 -40 = 2 + 0 -40 = 2 Solving -40 = 2 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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