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Simplifying 3(t + -1) + 9 = t Reorder the terms: 3(-1 + t) + 9 = t (-1 * 3 + t * 3) + 9 = t (-3 + 3t) + 9 = t Reorder the terms: -3 + 9 + 3t = t Combine like terms: -3 + 9 = 6 6 + 3t = t Solving 6 + 3t = t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 6 + 3t + -1t = t + -1t Combine like terms: 3t + -1t = 2t 6 + 2t = t + -1t Combine like terms: t + -1t = 0 6 + 2t = 0 Add '-6' to each side of the equation. 6 + -6 + 2t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2t = 0 + -6 2t = 0 + -6 Combine like terms: 0 + -6 = -6 2t = -6 Divide each side by '2'. t = -3 Simplifying t = -3
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