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Simplifying -30(t + -2) = 300 + 50t Reorder the terms: -30(-2 + t) = 300 + 50t (-2 * -30 + t * -30) = 300 + 50t (60 + -30t) = 300 + 50t Solving 60 + -30t = 300 + 50t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-50t' to each side of the equation. 60 + -30t + -50t = 300 + 50t + -50t Combine like terms: -30t + -50t = -80t 60 + -80t = 300 + 50t + -50t Combine like terms: 50t + -50t = 0 60 + -80t = 300 + 0 60 + -80t = 300 Add '-60' to each side of the equation. 60 + -60 + -80t = 300 + -60 Combine like terms: 60 + -60 = 0 0 + -80t = 300 + -60 -80t = 300 + -60 Combine like terms: 300 + -60 = 240 -80t = 240 Divide each side by '-80'. t = -3 Simplifying t = -3
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