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Simplifying 40(t + -2) = 30t Reorder the terms: 40(-2 + t) = 30t (-2 * 40 + t * 40) = 30t (-80 + 40t) = 30t Solving -80 + 40t = 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. -80 + 40t + -30t = 30t + -30t Combine like terms: 40t + -30t = 10t -80 + 10t = 30t + -30t Combine like terms: 30t + -30t = 0 -80 + 10t = 0 Add '80' to each side of the equation. -80 + 80 + 10t = 0 + 80 Combine like terms: -80 + 80 = 0 0 + 10t = 0 + 80 10t = 0 + 80 Combine like terms: 0 + 80 = 80 10t = 80 Divide each side by '10'. t = 8 Simplifying t = 8
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