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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 Solving -8 + 12t = -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 + 12t + 12t = -56 + -12t + 12t Combine like terms: 12t + 12t = 24t -8 + 24t = -56 + -12t + 12t Combine like terms: -12t + 12t = 0 -8 + 24t = -56 + 0 -8 + 24t = -56 Add '8' to each side of the equation. -8 + 8 + 24t = -56 + 8 Combine like terms: -8 + 8 = 0 0 + 24t = -56 + 8 24t = -56 + 8 Combine like terms: -56 + 8 = -48 24t = -48 Divide each side by '24'. t = -2 Simplifying t = -2
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