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Simplifying 9(t + -4) + 5t = 7(2t + 2) + -10 Reorder the terms: 9(-4 + t) + 5t = 7(2t + 2) + -10 (-4 * 9 + t * 9) + 5t = 7(2t + 2) + -10 (-36 + 9t) + 5t = 7(2t + 2) + -10 Combine like terms: 9t + 5t = 14t -36 + 14t = 7(2t + 2) + -10 Reorder the terms: -36 + 14t = 7(2 + 2t) + -10 -36 + 14t = (2 * 7 + 2t * 7) + -10 -36 + 14t = (14 + 14t) + -10 Reorder the terms: -36 + 14t = 14 + -10 + 14t Combine like terms: 14 + -10 = 4 -36 + 14t = 4 + 14t Add '-14t' to each side of the equation. -36 + 14t + -14t = 4 + 14t + -14t Combine like terms: 14t + -14t = 0 -36 + 0 = 4 + 14t + -14t -36 = 4 + 14t + -14t Combine like terms: 14t + -14t = 0 -36 = 4 + 0 -36 = 4 Solving -36 = 4 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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