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Simplifying 5(-1t + 5) = -5(2t + -3) Reorder the terms: 5(5 + -1t) = -5(2t + -3) (5 * 5 + -1t * 5) = -5(2t + -3) (25 + -5t) = -5(2t + -3) Reorder the terms: 25 + -5t = -5(-3 + 2t) 25 + -5t = (-3 * -5 + 2t * -5) 25 + -5t = (15 + -10t) Solving 25 + -5t = 15 + -10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10t' to each side of the equation. 25 + -5t + 10t = 15 + -10t + 10t Combine like terms: -5t + 10t = 5t 25 + 5t = 15 + -10t + 10t Combine like terms: -10t + 10t = 0 25 + 5t = 15 + 0 25 + 5t = 15 Add '-25' to each side of the equation. 25 + -25 + 5t = 15 + -25 Combine like terms: 25 + -25 = 0 0 + 5t = 15 + -25 5t = 15 + -25 Combine like terms: 15 + -25 = -10 5t = -10 Divide each side by '5'. t = -2 Simplifying t = -2
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