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Simplifying 15(2 + -11t) = 15(5(t + 2)) (2 * 15 + -11t * 15) = 15(5(t + 2)) (30 + -165t) = 15(5(t + 2)) Reorder the terms: 30 + -165t = 15(5(2 + t)) 30 + -165t = 15((2 * 5 + t * 5)) 30 + -165t = 15((10 + 5t)) 30 + -165t = (10 * 15 + 5t * 15) 30 + -165t = (150 + 75t) Solving 30 + -165t = 150 + 75t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-75t' to each side of the equation. 30 + -165t + -75t = 150 + 75t + -75t Combine like terms: -165t + -75t = -240t 30 + -240t = 150 + 75t + -75t Combine like terms: 75t + -75t = 0 30 + -240t = 150 + 0 30 + -240t = 150 Add '-30' to each side of the equation. 30 + -30 + -240t = 150 + -30 Combine like terms: 30 + -30 = 0 0 + -240t = 150 + -30 -240t = 150 + -30 Combine like terms: 150 + -30 = 120 -240t = 120 Divide each side by '-240'. t = -0.5 Simplifying t = -0.5
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