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Simplifying 105t = 30(t + -5) Reorder the terms: 105t = 30(-5 + t) 105t = (-5 * 30 + t * 30) 105t = (-150 + 30t) Solving 105t = -150 + 30t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30t' to each side of the equation. 105t + -30t = -150 + 30t + -30t Combine like terms: 105t + -30t = 75t 75t = -150 + 30t + -30t Combine like terms: 30t + -30t = 0 75t = -150 + 0 75t = -150 Divide each side by '75'. t = -2 Simplifying t = -2
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