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Simplifying 10(t + -3) + 4t = 7(2t + 3) + -12 Reorder the terms: 10(-3 + t) + 4t = 7(2t + 3) + -12 (-3 * 10 + t * 10) + 4t = 7(2t + 3) + -12 (-30 + 10t) + 4t = 7(2t + 3) + -12 Combine like terms: 10t + 4t = 14t -30 + 14t = 7(2t + 3) + -12 Reorder the terms: -30 + 14t = 7(3 + 2t) + -12 -30 + 14t = (3 * 7 + 2t * 7) + -12 -30 + 14t = (21 + 14t) + -12 Reorder the terms: -30 + 14t = 21 + -12 + 14t Combine like terms: 21 + -12 = 9 -30 + 14t = 9 + 14t Add '-14t' to each side of the equation. -30 + 14t + -14t = 9 + 14t + -14t Combine like terms: 14t + -14t = 0 -30 + 0 = 9 + 14t + -14t -30 = 9 + 14t + -14t Combine like terms: 14t + -14t = 0 -30 = 9 + 0 -30 = 9 Solving -30 = 9 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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