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Simplifying -5(t + -1) + 7t = 8t + -8 Reorder the terms: -5(-1 + t) + 7t = 8t + -8 (-1 * -5 + t * -5) + 7t = 8t + -8 (5 + -5t) + 7t = 8t + -8 Combine like terms: -5t + 7t = 2t 5 + 2t = 8t + -8 Reorder the terms: 5 + 2t = -8 + 8t Solving 5 + 2t = -8 + 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. 5 + 2t + -8t = -8 + 8t + -8t Combine like terms: 2t + -8t = -6t 5 + -6t = -8 + 8t + -8t Combine like terms: 8t + -8t = 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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