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Simplifying 7(t + -3) + 5t = 4(3t + 5) + -10 Reorder the terms: 7(-3 + t) + 5t = 4(3t + 5) + -10 (-3 * 7 + t * 7) + 5t = 4(3t + 5) + -10 (-21 + 7t) + 5t = 4(3t + 5) + -10 Combine like terms: 7t + 5t = 12t -21 + 12t = 4(3t + 5) + -10 Reorder the terms: -21 + 12t = 4(5 + 3t) + -10 -21 + 12t = (5 * 4 + 3t * 4) + -10 -21 + 12t = (20 + 12t) + -10 Reorder the terms: -21 + 12t = 20 + -10 + 12t Combine like terms: 20 + -10 = 10 -21 + 12t = 10 + 12t Add '-12t' to each side of the equation. -21 + 12t + -12t = 10 + 12t + -12t Combine like terms: 12t + -12t = 0 -21 + 0 = 10 + 12t + -12t -21 = 10 + 12t + -12t Combine like terms: 12t + -12t = 0 -21 = 10 + 0 -21 = 10 Solving -21 = 10 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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