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Simplifying 3(3t + 3) = 3(-3t + -39) Reorder the terms: 3(3 + 3t) = 3(-3t + -39) (3 * 3 + 3t * 3) = 3(-3t + -39) (9 + 9t) = 3(-3t + -39) Reorder the terms: 9 + 9t = 3(-39 + -3t) 9 + 9t = (-39 * 3 + -3t * 3) 9 + 9t = (-117 + -9t) Solving 9 + 9t = -117 + -9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '9t' to each side of the equation. 9 + 9t + 9t = -117 + -9t + 9t Combine like terms: 9t + 9t = 18t 9 + 18t = -117 + -9t + 9t Combine like terms: -9t + 9t = 0 9 + 18t = -117 + 0 9 + 18t = -117 Add '-9' to each side of the equation. 9 + -9 + 18t = -117 + -9 Combine like terms: 9 + -9 = 0 0 + 18t = -117 + -9 18t = -117 + -9 Combine like terms: -117 + -9 = -126 18t = -126 Divide each side by '18'. t = -7 Simplifying t = -7
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