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Simplifying 7(t + -4) + 5t = 4(3t + 4) + -9 Reorder the terms: 7(-4 + t) + 5t = 4(3t + 4) + -9 (-4 * 7 + t * 7) + 5t = 4(3t + 4) + -9 (-28 + 7t) + 5t = 4(3t + 4) + -9 Combine like terms: 7t + 5t = 12t -28 + 12t = 4(3t + 4) + -9 Reorder the terms: -28 + 12t = 4(4 + 3t) + -9 -28 + 12t = (4 * 4 + 3t * 4) + -9 -28 + 12t = (16 + 12t) + -9 Reorder the terms: -28 + 12t = 16 + -9 + 12t Combine like terms: 16 + -9 = 7 -28 + 12t = 7 + 12t Add '-12t' to each side of the equation. -28 + 12t + -12t = 7 + 12t + -12t Combine like terms: 12t + -12t = 0 -28 + 0 = 7 + 12t + -12t -28 = 7 + 12t + -12t Combine like terms: 12t + -12t = 0 -28 = 7 + 0 -28 = 7 Solving -28 = 7 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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