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Simplifying -1t + 2 = 8t + -8 + -4t Reorder the terms: 2 + -1t = 8t + -8 + -4t Reorder the terms: 2 + -1t = -8 + 8t + -4t Combine like terms: 8t + -4t = 4t 2 + -1t = -8 + 4t Solving 2 + -1t = -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. 2 + -1t + -4t = -8 + 4t + -4t Combine like terms: -1t + -4t = -5t 2 + -5t = -8 + 4t + -4t Combine like terms: 4t + -4t = 0 2 + -5t = -8 + 0 2 + -5t = -8 Add '-2' to each side of the equation. 2 + -2 + -5t = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -5t = -8 + -2 -5t = -8 + -2 Combine like terms: -8 + -2 = -10 -5t = -10 Divide each side by '-5'. t = 2 Simplifying t = 2
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