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Simplifying 5(t + 5) = 3t + 30 Reorder the terms: 5(5 + t) = 3t + 30 (5 * 5 + t * 5) = 3t + 30 (25 + 5t) = 3t + 30 Reorder the terms: 25 + 5t = 30 + 3t Solving 25 + 5t = 30 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 25 + 5t + -3t = 30 + 3t + -3t Combine like terms: 5t + -3t = 2t 25 + 2t = 30 + 3t + -3t Combine like terms: 3t + -3t = 0 25 + 2t = 30 + 0 25 + 2t = 30 Add '-25' to each side of the equation. 25 + -25 + 2t = 30 + -25 Combine like terms: 25 + -25 = 0 0 + 2t = 30 + -25 2t = 30 + -25 Combine like terms: 30 + -25 = 5 2t = 5 Divide each side by '2'. t = 2.5 Simplifying t = 2.5
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