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Simplifying 9(t + -5) + 3t = 6(2t + 14) + -12 Reorder the terms: 9(-5 + t) + 3t = 6(2t + 14) + -12 (-5 * 9 + t * 9) + 3t = 6(2t + 14) + -12 (-45 + 9t) + 3t = 6(2t + 14) + -12 Combine like terms: 9t + 3t = 12t -45 + 12t = 6(2t + 14) + -12 Reorder the terms: -45 + 12t = 6(14 + 2t) + -12 -45 + 12t = (14 * 6 + 2t * 6) + -12 -45 + 12t = (84 + 12t) + -12 Reorder the terms: -45 + 12t = 84 + -12 + 12t Combine like terms: 84 + -12 = 72 -45 + 12t = 72 + 12t Add '-12t' to each side of the equation. -45 + 12t + -12t = 72 + 12t + -12t Combine like terms: 12t + -12t = 0 -45 + 0 = 72 + 12t + -12t -45 = 72 + 12t + -12t Combine like terms: 12t + -12t = 0 -45 = 72 + 0 -45 = 72 Solving -45 = 72 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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