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Simplifying 3(t + 3) + -1(t + 7) = 9 Reorder the terms: 3(3 + t) + -1(t + 7) = 9 (3 * 3 + t * 3) + -1(t + 7) = 9 (9 + 3t) + -1(t + 7) = 9 Reorder the terms: 9 + 3t + -1(7 + t) = 9 9 + 3t + (7 * -1 + t * -1) = 9 9 + 3t + (-7 + -1t) = 9 Reorder the terms: 9 + -7 + 3t + -1t = 9 Combine like terms: 9 + -7 = 2 2 + 3t + -1t = 9 Combine like terms: 3t + -1t = 2t 2 + 2t = 9 Solving 2 + 2t = 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 + 2t = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 2t = 9 + -2 2t = 9 + -2 Combine like terms: 9 + -2 = 7 2t = 7 Divide each side by '2'. t = 3.5 Simplifying t = 3.5
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