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Simplifying 8(t + -3) + 4t = 6(2t + 1) + -10 Reorder the terms: 8(-3 + t) + 4t = 6(2t + 1) + -10 (-3 * 8 + t * 8) + 4t = 6(2t + 1) + -10 (-24 + 8t) + 4t = 6(2t + 1) + -10 Combine like terms: 8t + 4t = 12t -24 + 12t = 6(2t + 1) + -10 Reorder the terms: -24 + 12t = 6(1 + 2t) + -10 -24 + 12t = (1 * 6 + 2t * 6) + -10 -24 + 12t = (6 + 12t) + -10 Reorder the terms: -24 + 12t = 6 + -10 + 12t Combine like terms: 6 + -10 = -4 -24 + 12t = -4 + 12t Add '-12t' to each side of the equation. -24 + 12t + -12t = -4 + 12t + -12t Combine like terms: 12t + -12t = 0 -24 + 0 = -4 + 12t + -12t -24 = -4 + 12t + -12t Combine like terms: 12t + -12t = 0 -24 = -4 + 0 -24 = -4 Solving -24 = -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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