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Simplifying 30(t + 5) = 40(t) Reorder the terms: 30(5 + t) = 40(t) (5 * 30 + t * 30) = 40(t) (150 + 30t) = 40(t) Solving 150 + 30t = 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. 150 + 30t + -40t = 40t + -40t Combine like terms: 30t + -40t = -10t 150 + -10t = 40t + -40t Combine like terms: 40t + -40t = 0 150 + -10t = 0 Add '-150' to each side of the equation. 150 + -150 + -10t = 0 + -150 Combine like terms: 150 + -150 = 0 0 + -10t = 0 + -150 -10t = 0 + -150 Combine like terms: 0 + -150 = -150 -10t = -150 Divide each side by '-10'. t = 15 Simplifying t = 15
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