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Simplifying 5(5 + t) = 4(2t + -5) (5 * 5 + t * 5) = 4(2t + -5) (25 + 5t) = 4(2t + -5) Reorder the terms: 25 + 5t = 4(-5 + 2t) 25 + 5t = (-5 * 4 + 2t * 4) 25 + 5t = (-20 + 8t) Solving 25 + 5t = -20 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 25 + 5t + -8t = -20 + 8t + -8t Combine like terms: 5t + -8t = -3t 25 + -3t = -20 + 8t + -8t Combine like terms: 8t + -8t = 0 25 + -3t = -20 + 0 25 + -3t = -20 Add '-25' to each side of the equation. 25 + -25 + -3t = -20 + -25 Combine like terms: 25 + -25 = 0 0 + -3t = -20 + -25 -3t = -20 + -25 Combine like terms: -20 + -25 = -45 -3t = -45 Divide each side by '-3'. t = 15 Simplifying t = 15
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