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Simplifying 25 + 2(t) = 5(t + 2) + -3 Reorder the terms: 25 + 2t = 5(2 + t) + -3 25 + 2t = (2 * 5 + t * 5) + -3 25 + 2t = (10 + 5t) + -3 Reorder the terms: 25 + 2t = 10 + -3 + 5t Combine like terms: 10 + -3 = 7 25 + 2t = 7 + 5t Solving 25 + 2t = 7 + 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 = 7 + 5t + -5t Combine like terms: 2t + -5t = -3t 25 + -3t = 7 + 5t + -5t Combine like terms: 5t + -5t = 0 25 + -3t = 7 + 0 25 + -3t = 7 Add '-25' to each side of the equation. 25 + -25 + -3t = 7 + -25 Combine like terms: 25 + -25 = 0 0 + -3t = 7 + -25 -3t = 7 + -25 Combine like terms: 7 + -25 = -18 -3t = -18 Divide each side by '-3'. t = 6 Simplifying t = 6
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