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Simplifying 5(t + 1) = 4t Reorder the terms: 5(1 + t) = 4t (1 * 5 + t * 5) = 4t (5 + 5t) = 4t Solving 5 + 5t = 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 5 + 5t + -4t = 4t + -4t Combine like terms: 5t + -4t = 1t 5 + 1t = 4t + -4t Combine like terms: 4t + -4t = 0 5 + 1t = 0 Add '-5' to each side of the equation. 5 + -5 + 1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 1t = 0 + -5 1t = 0 + -5 Combine like terms: 0 + -5 = -5 1t = -5 Divide each side by '1'. t = -5 Simplifying t = -5
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