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Simplifying -4(-2t + 8) = -6(t + -18) + 12t Reorder the terms: -4(8 + -2t) = -6(t + -18) + 12t (8 * -4 + -2t * -4) = -6(t + -18) + 12t (-32 + 8t) = -6(t + -18) + 12t Reorder the terms: -32 + 8t = -6(-18 + t) + 12t -32 + 8t = (-18 * -6 + t * -6) + 12t -32 + 8t = (108 + -6t) + 12t Combine like terms: -6t + 12t = 6t -32 + 8t = 108 + 6t Solving -32 + 8t = 108 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -32 + 8t + -6t = 108 + 6t + -6t Combine like terms: 8t + -6t = 2t -32 + 2t = 108 + 6t + -6t Combine like terms: 6t + -6t = 0 -32 + 2t = 108 + 0 -32 + 2t = 108 Add '32' to each side of the equation. -32 + 32 + 2t = 108 + 32 Combine like terms: -32 + 32 = 0 0 + 2t = 108 + 32 2t = 108 + 32 Combine like terms: 108 + 32 = 140 2t = 140 Divide each side by '2'. t = 70 Simplifying t = 70
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