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Simplifying 30t = 40(t + -2) Reorder the terms: 30t = 40(-2 + t) 30t = (-2 * 40 + t * 40) 30t = (-80 + 40t) Solving 30t = -80 + 40t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-40t' to each side of the equation. 30t + -40t = -80 + 40t + -40t Combine like terms: 30t + -40t = -10t -10t = -80 + 40t + -40t Combine like terms: 40t + -40t = 0 -10t = -80 + 0 -10t = -80 Divide each side by '-10'. t = 8 Simplifying t = 8
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