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Simplifying 15 + 4t = 5(t + 5) Reorder the terms: 15 + 4t = 5(5 + t) 15 + 4t = (5 * 5 + t * 5) 15 + 4t = (25 + 5t) Solving 15 + 4t = 25 + 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. 15 + 4t + -5t = 25 + 5t + -5t Combine like terms: 4t + -5t = -1t 15 + -1t = 25 + 5t + -5t Combine like terms: 5t + -5t = 0 15 + -1t = 25 + 0 15 + -1t = 25 Add '-15' to each side of the equation. 15 + -15 + -1t = 25 + -15 Combine like terms: 15 + -15 = 0 0 + -1t = 25 + -15 -1t = 25 + -15 Combine like terms: 25 + -15 = 10 -1t = 10 Divide each side by '-1'. t = -10 Simplifying t = -10
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