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Simplifying 10(t + -2) + 4t = 7(2t + 3) + -10 Reorder the terms: 10(-2 + t) + 4t = 7(2t + 3) + -10 (-2 * 10 + t * 10) + 4t = 7(2t + 3) + -10 (-20 + 10t) + 4t = 7(2t + 3) + -10 Combine like terms: 10t + 4t = 14t -20 + 14t = 7(2t + 3) + -10 Reorder the terms: -20 + 14t = 7(3 + 2t) + -10 -20 + 14t = (3 * 7 + 2t * 7) + -10 -20 + 14t = (21 + 14t) + -10 Reorder the terms: -20 + 14t = 21 + -10 + 14t Combine like terms: 21 + -10 = 11 -20 + 14t = 11 + 14t Add '-14t' to each side of the equation. -20 + 14t + -14t = 11 + 14t + -14t Combine like terms: 14t + -14t = 0 -20 + 0 = 11 + 14t + -14t -20 = 11 + 14t + -14t Combine like terms: 14t + -14t = 0 -20 = 11 + 0 -20 = 11 Solving -20 = 11 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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