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Simplifying (3t + 9) + -1(2t + 7) = 9 Reorder the terms: (9 + 3t) + -1(2t + 7) = 9 Remove parenthesis around (9 + 3t) 9 + 3t + -1(2t + 7) = 9 Reorder the terms: 9 + 3t + -1(7 + 2t) = 9 9 + 3t + (7 * -1 + 2t * -1) = 9 9 + 3t + (-7 + -2t) = 9 Reorder the terms: 9 + -7 + 3t + -2t = 9 Combine like terms: 9 + -7 = 2 2 + 3t + -2t = 9 Combine like terms: 3t + -2t = 1t 2 + 1t = 9 Solving 2 + 1t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1t = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 1t = 9 + -2 1t = 9 + -2 Combine like terms: 9 + -2 = 7 1t = 7 Divide each side by '1'. t = 7 Simplifying t = 7
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