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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 = 4t 8 + 4t = -2 + -6(2t + 9) Reorder the terms: 8 + 4t = -2 + -6(9 + 2t) 8 + 4t = -2 + (9 * -6 + 2t * -6) 8 + 4t = -2 + (-54 + -12t) Combine like terms: -2 + -54 = -56 8 + 4t = -56 + -12t Solving 8 + 4t = -56 + -12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12t' to each side of the equation. 8 + 4t + 12t = -56 + -12t + 12t Combine like terms: 4t + 12t = 16t 8 + 16t = -56 + -12t + 12t Combine like terms: -12t + 12t = 0 8 + 16t = -56 + 0 8 + 16t = -56 Add '-8' to each side of the equation. 8 + -8 + 16t = -56 + -8 Combine like terms: 8 + -8 = 0 0 + 16t = -56 + -8 16t = -56 + -8 Combine like terms: -56 + -8 = -64 16t = -64 Divide each side by '16'. t = -4 Simplifying t = -4
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