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Simplifying 10(t + -3) + 4t = 7(2t + 4) + -13 Reorder the terms: 10(-3 + t) + 4t = 7(2t + 4) + -13 (-3 * 10 + t * 10) + 4t = 7(2t + 4) + -13 (-30 + 10t) + 4t = 7(2t + 4) + -13 Combine like terms: 10t + 4t = 14t -30 + 14t = 7(2t + 4) + -13 Reorder the terms: -30 + 14t = 7(4 + 2t) + -13 -30 + 14t = (4 * 7 + 2t * 7) + -13 -30 + 14t = (28 + 14t) + -13 Reorder the terms: -30 + 14t = 28 + -13 + 14t Combine like terms: 28 + -13 = 15 -30 + 14t = 15 + 14t Add '-14t' to each side of the equation. -30 + 14t + -14t = 15 + 14t + -14t Combine like terms: 14t + -14t = 0 -30 + 0 = 15 + 14t + -14t -30 = 15 + 14t + -14t Combine like terms: 14t + -14t = 0 -30 = 15 + 0 -30 = 15 Solving -30 = 15 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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