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Simplifying 5(t + -6) + 7t = 4(3t + 3) + -10 Reorder the terms: 5(-6 + t) + 7t = 4(3t + 3) + -10 (-6 * 5 + t * 5) + 7t = 4(3t + 3) + -10 (-30 + 5t) + 7t = 4(3t + 3) + -10 Combine like terms: 5t + 7t = 12t -30 + 12t = 4(3t + 3) + -10 Reorder the terms: -30 + 12t = 4(3 + 3t) + -10 -30 + 12t = (3 * 4 + 3t * 4) + -10 -30 + 12t = (12 + 12t) + -10 Reorder the terms: -30 + 12t = 12 + -10 + 12t Combine like terms: 12 + -10 = 2 -30 + 12t = 2 + 12t Add '-12t' to each side of the equation. -30 + 12t + -12t = 2 + 12t + -12t Combine like terms: 12t + -12t = 0 -30 + 0 = 2 + 12t + -12t -30 = 2 + 12t + -12t Combine like terms: 12t + -12t = 0 -30 = 2 + 0 -30 = 2 Solving -30 = 2 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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