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Simplifying 8t + 4(t + -2) = -2 + -6(-2t + 9) Reorder the terms: 8t + 4(-2 + t) = -2 + -6(-2t + 9) 8t + (-2 * 4 + t * 4) = -2 + -6(-2t + 9) 8t + (-8 + 4t) = -2 + -6(-2t + 9) Reorder the terms: -8 + 8t + 4t = -2 + -6(-2t + 9) Combine like terms: 8t + 4t = 12t -8 + 12t = -2 + -6(-2t + 9) Reorder the terms: -8 + 12t = -2 + -6(9 + -2t) -8 + 12t = -2 + (9 * -6 + -2t * -6) -8 + 12t = -2 + (-54 + 12t) Combine like terms: -2 + -54 = -56 -8 + 12t = -56 + 12t Add '-12t' to each side of the equation. -8 + 12t + -12t = -56 + 12t + -12t Combine like terms: 12t + -12t = 0 -8 + 0 = -56 + 12t + -12t -8 = -56 + 12t + -12t Combine like terms: 12t + -12t = 0 -8 = -56 + 0 -8 = -56 Solving -8 = -56 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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