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Simplifying 5(3 + -2t) = 15(2t + -5) (3 * 5 + -2t * 5) = 15(2t + -5) (15 + -10t) = 15(2t + -5) Reorder the terms: 15 + -10t = 15(-5 + 2t) 15 + -10t = (-5 * 15 + 2t * 15) 15 + -10t = (-75 + 30t) Solving 15 + -10t = -75 + 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. 15 + -10t + -30t = -75 + 30t + -30t Combine like terms: -10t + -30t = -40t 15 + -40t = -75 + 30t + -30t Combine like terms: 30t + -30t = 0 15 + -40t = -75 + 0 15 + -40t = -75 Add '-15' to each side of the equation. 15 + -15 + -40t = -75 + -15 Combine like terms: 15 + -15 = 0 0 + -40t = -75 + -15 -40t = -75 + -15 Combine like terms: -75 + -15 = -90 -40t = -90 Divide each side by '-40'. t = 2.25 Simplifying t = 2.25
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