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Simplifying 7(t + 11) + 9 = 100 Reorder the terms: 7(11 + t) + 9 = 100 (11 * 7 + t * 7) + 9 = 100 (77 + 7t) + 9 = 100 Reorder the terms: 77 + 9 + 7t = 100 Combine like terms: 77 + 9 = 86 86 + 7t = 100 Solving 86 + 7t = 100 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-86' to each side of the equation. 86 + -86 + 7t = 100 + -86 Combine like terms: 86 + -86 = 0 0 + 7t = 100 + -86 7t = 100 + -86 Combine like terms: 100 + -86 = 14 7t = 14 Divide each side by '7'. t = 2 Simplifying t = 2
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