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Simplifying -2(t + -2) + 6t = 8t + -6 Reorder the terms: -2(-2 + t) + 6t = 8t + -6 (-2 * -2 + t * -2) + 6t = 8t + -6 (4 + -2t) + 6t = 8t + -6 Combine like terms: -2t + 6t = 4t 4 + 4t = 8t + -6 Reorder the terms: 4 + 4t = -6 + 8t Solving 4 + 4t = -6 + 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. 4 + 4t + -8t = -6 + 8t + -8t Combine like terms: 4t + -8t = -4t 4 + -4t = -6 + 8t + -8t Combine like terms: 8t + -8t = 0 4 + -4t = -6 + 0 4 + -4t = -6 Add '-4' to each side of the equation. 4 + -4 + -4t = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -4t = -6 + -4 -4t = -6 + -4 Combine like terms: -6 + -4 = -10 -4t = -10 Divide each side by '-4'. t = 2.5 Simplifying t = 2.5
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