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Simplifying 5t + 2(t + -1) + 3 = 36 Reorder the terms: 5t + 2(-1 + t) + 3 = 36 5t + (-1 * 2 + t * 2) + 3 = 36 5t + (-2 + 2t) + 3 = 36 Reorder the terms: -2 + 3 + 5t + 2t = 36 Combine like terms: -2 + 3 = 1 1 + 5t + 2t = 36 Combine like terms: 5t + 2t = 7t 1 + 7t = 36 Solving 1 + 7t = 36 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7t = 36 + -1 Combine like terms: 1 + -1 = 0 0 + 7t = 36 + -1 7t = 36 + -1 Combine like terms: 36 + -1 = 35 7t = 35 Divide each side by '7'. t = 5 Simplifying t = 5
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