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Simplifying 4(t + -5) + 8t = 6(2t + 3) + -10 Reorder the terms: 4(-5 + t) + 8t = 6(2t + 3) + -10 (-5 * 4 + t * 4) + 8t = 6(2t + 3) + -10 (-20 + 4t) + 8t = 6(2t + 3) + -10 Combine like terms: 4t + 8t = 12t -20 + 12t = 6(2t + 3) + -10 Reorder the terms: -20 + 12t = 6(3 + 2t) + -10 -20 + 12t = (3 * 6 + 2t * 6) + -10 -20 + 12t = (18 + 12t) + -10 Reorder the terms: -20 + 12t = 18 + -10 + 12t Combine like terms: 18 + -10 = 8 -20 + 12t = 8 + 12t Add '-12t' to each side of the equation. -20 + 12t + -12t = 8 + 12t + -12t Combine like terms: 12t + -12t = 0 -20 + 0 = 8 + 12t + -12t -20 = 8 + 12t + -12t Combine like terms: 12t + -12t = 0 -20 = 8 + 0 -20 = 8 Solving -20 = 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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