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Simplifying -2(t + -4) + 8t = 4t + -5 Reorder the terms: -2(-4 + t) + 8t = 4t + -5 (-4 * -2 + t * -2) + 8t = 4t + -5 (8 + -2t) + 8t = 4t + -5 Combine like terms: -2t + 8t = 6t 8 + 6t = 4t + -5 Reorder the terms: 8 + 6t = -5 + 4t Solving 8 + 6t = -5 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 8 + 6t + -4t = -5 + 4t + -4t Combine like terms: 6t + -4t = 2t 8 + 2t = -5 + 4t + -4t Combine like terms: 4t + -4t = 0 8 + 2t = -5 + 0 8 + 2t = -5 Add '-8' to each side of the equation. 8 + -8 + 2t = -5 + -8 Combine like terms: 8 + -8 = 0 0 + 2t = -5 + -8 2t = -5 + -8 Combine like terms: -5 + -8 = -13 2t = -13 Divide each side by '2'. t = -6.5 Simplifying t = -6.5
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