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Simplifying 5(t + 1) = -1t + -8 Reorder the terms: 5(1 + t) = -1t + -8 (1 * 5 + t * 5) = -1t + -8 (5 + 5t) = -1t + -8 Reorder the terms: 5 + 5t = -8 + -1t Solving 5 + 5t = -8 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 5 + 5t + t = -8 + -1t + t Combine like terms: 5t + t = 6t 5 + 6t = -8 + -1t + t Combine like terms: -1t + t = 0 5 + 6t = -8 + 0 5 + 6t = -8 Add '-5' to each side of the equation. 5 + -5 + 6t = -8 + -5 Combine like terms: 5 + -5 = 0 0 + 6t = -8 + -5 6t = -8 + -5 Combine like terms: -8 + -5 = -13 6t = -13 Divide each side by '6'. t = -2.166666667 Simplifying t = -2.166666667
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