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Simplifying -2(t + -1) + 6t = 8t + -2 Reorder the terms: -2(-1 + t) + 6t = 8t + -2 (-1 * -2 + t * -2) + 6t = 8t + -2 (2 + -2t) + 6t = 8t + -2 Combine like terms: -2t + 6t = 4t 2 + 4t = 8t + -2 Reorder the terms: 2 + 4t = -2 + 8t Solving 2 + 4t = -2 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 2 + 4t + -8t = -2 + 8t + -8t Combine like terms: 4t + -8t = -4t 2 + -4t = -2 + 8t + -8t Combine like terms: 8t + -8t = 0 2 + -4t = -2 + 0 2 + -4t = -2 Add '-2' to each side of the equation. 2 + -2 + -4t = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -4t = -2 + -2 -4t = -2 + -2 Combine like terms: -2 + -2 = -4 -4t = -4 Divide each side by '-4'. t = 1 Simplifying t = 1
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