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Simplifying -2(t + -3) + 8t = 4t + -8 Reorder the terms: -2(-3 + t) + 8t = 4t + -8 (-3 * -2 + t * -2) + 8t = 4t + -8 (6 + -2t) + 8t = 4t + -8 Combine like terms: -2t + 8t = 6t 6 + 6t = 4t + -8 Reorder the terms: 6 + 6t = -8 + 4t Solving 6 + 6t = -8 + 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. 6 + 6t + -4t = -8 + 4t + -4t Combine like terms: 6t + -4t = 2t 6 + 2t = -8 + 4t + -4t Combine like terms: 4t + -4t = 0 6 + 2t = -8 + 0 6 + 2t = -8 Add '-6' to each side of the equation. 6 + -6 + 2t = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 2t = -8 + -6 2t = -8 + -6 Combine like terms: -8 + -6 = -14 2t = -14 Divide each side by '2'. t = -7 Simplifying t = -7
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