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Simplifying 9(t + -5) + 3t = 4(3t + 4) + -10 Reorder the terms: 9(-5 + t) + 3t = 4(3t + 4) + -10 (-5 * 9 + t * 9) + 3t = 4(3t + 4) + -10 (-45 + 9t) + 3t = 4(3t + 4) + -10 Combine like terms: 9t + 3t = 12t -45 + 12t = 4(3t + 4) + -10 Reorder the terms: -45 + 12t = 4(4 + 3t) + -10 -45 + 12t = (4 * 4 + 3t * 4) + -10 -45 + 12t = (16 + 12t) + -10 Reorder the terms: -45 + 12t = 16 + -10 + 12t Combine like terms: 16 + -10 = 6 -45 + 12t = 6 + 12t Add '-12t' to each side of the equation. -45 + 12t + -12t = 6 + 12t + -12t Combine like terms: 12t + -12t = 0 -45 + 0 = 6 + 12t + -12t -45 = 6 + 12t + -12t Combine like terms: 12t + -12t = 0 -45 = 6 + 0 -45 = 6 Solving -45 = 6 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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