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Simplifying 25 + 2t = 5(t + -2) Reorder the terms: 25 + 2t = 5(-2 + t) 25 + 2t = (-2 * 5 + t * 5) 25 + 2t = (-10 + 5t) Solving 25 + 2t = -10 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 25 + 2t + -5t = -10 + 5t + -5t Combine like terms: 2t + -5t = -3t 25 + -3t = -10 + 5t + -5t Combine like terms: 5t + -5t = 0 25 + -3t = -10 + 0 25 + -3t = -10 Add '-25' to each side of the equation. 25 + -25 + -3t = -10 + -25 Combine like terms: 25 + -25 = 0 0 + -3t = -10 + -25 -3t = -10 + -25 Combine like terms: -10 + -25 = -35 -3t = -35 Divide each side by '-3'. t = 11.66666667 Simplifying t = 11.66666667
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