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Simplifying 7(t + -3) + 5t = 4(3t + 3) + -8 Reorder the terms: 7(-3 + t) + 5t = 4(3t + 3) + -8 (-3 * 7 + t * 7) + 5t = 4(3t + 3) + -8 (-21 + 7t) + 5t = 4(3t + 3) + -8 Combine like terms: 7t + 5t = 12t -21 + 12t = 4(3t + 3) + -8 Reorder the terms: -21 + 12t = 4(3 + 3t) + -8 -21 + 12t = (3 * 4 + 3t * 4) + -8 -21 + 12t = (12 + 12t) + -8 Reorder the terms: -21 + 12t = 12 + -8 + 12t Combine like terms: 12 + -8 = 4 -21 + 12t = 4 + 12t Add '-12t' to each side of the equation. -21 + 12t + -12t = 4 + 12t + -12t Combine like terms: 12t + -12t = 0 -21 + 0 = 4 + 12t + -12t -21 = 4 + 12t + -12t Combine like terms: 12t + -12t = 0 -21 = 4 + 0 -21 = 4 Solving -21 = 4 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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