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Simplifying 5(t + -1) + 2(t + 3) + 7 = 85 Reorder the terms: 5(-1 + t) + 2(t + 3) + 7 = 85 (-1 * 5 + t * 5) + 2(t + 3) + 7 = 85 (-5 + 5t) + 2(t + 3) + 7 = 85 Reorder the terms: -5 + 5t + 2(3 + t) + 7 = 85 -5 + 5t + (3 * 2 + t * 2) + 7 = 85 -5 + 5t + (6 + 2t) + 7 = 85 Reorder the terms: -5 + 6 + 7 + 5t + 2t = 85 Combine like terms: -5 + 6 = 1 1 + 7 + 5t + 2t = 85 Combine like terms: 1 + 7 = 8 8 + 5t + 2t = 85 Combine like terms: 5t + 2t = 7t 8 + 7t = 85 Solving 8 + 7t = 85 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7t = 85 + -8 Combine like terms: 8 + -8 = 0 0 + 7t = 85 + -8 7t = 85 + -8 Combine like terms: 85 + -8 = 77 7t = 77 Divide each side by '7'. t = 11 Simplifying t = 11
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