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Simplifying 7(t + -6) + 5t = 4(3t + 5) + -12 Reorder the terms: 7(-6 + t) + 5t = 4(3t + 5) + -12 (-6 * 7 + t * 7) + 5t = 4(3t + 5) + -12 (-42 + 7t) + 5t = 4(3t + 5) + -12 Combine like terms: 7t + 5t = 12t -42 + 12t = 4(3t + 5) + -12 Reorder the terms: -42 + 12t = 4(5 + 3t) + -12 -42 + 12t = (5 * 4 + 3t * 4) + -12 -42 + 12t = (20 + 12t) + -12 Reorder the terms: -42 + 12t = 20 + -12 + 12t Combine like terms: 20 + -12 = 8 -42 + 12t = 8 + 12t Add '-12t' to each side of the equation. -42 + 12t + -12t = 8 + 12t + -12t Combine like terms: 12t + -12t = 0 -42 + 0 = 8 + 12t + -12t -42 = 8 + 12t + -12t Combine like terms: 12t + -12t = 0 -42 = 8 + 0 -42 = 8 Solving -42 = 8 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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